In which quadrant does the point $(-5, 3)$ lie?
Quadrant II
Quadrant III
Quadrant I
Quadrant IV
What are the coordinates of the point P shown on the graph?
$(-6, 4)$
$(4, -6)$
$(-4, -6)$
$(4, 6)$
A point with a positive x-coordinate and a negative y-coordinate is in Quadrant ___. (Use Roman numerals, e.g., I, II, III, IV)
Which of the following points lies on the y-axis?
$(3, 3)$
$(3, 0)$
$(-2, -2)$
$(0, -2)$
The point $(x, y)$ is in Quadrant III. Which of the following must be true?
$x > 0$ and $y < 0$
$x > 0$ and $y > 0$
$x < 0$ and $y > 0$
$x < 0$ and $y < 0$
What is the slope of the line passing through the points $(2, 5)$ and $(4, 9)$?
$2$
$-\frac{1}{2}$
$-2$
$\frac{1}{2}$
Find the slope of the line that contains the points $(-1, 3)$ and $(2, -3)$.
$0$
Calculate the slope of the line passing through $(5, -8)$ and $(3, 2)$.
A line passes through $(7, 1)$ and $(x, 4)$ and has a slope of $3$. What is the value of $x$?
$8$
$4$
$10$
$6$
What is the general formula for the slope of a line passing through $(a, b)$ and $(c, d)$?
$\frac{a-c}{d-b}$
$\frac{c-a}{d-b}$
$\frac{d-c}{b-a}$
$\frac{d-b}{c-a}$
The formula for slope, $m$, given two points $(x_1, y_1)$ and $(x_2, y_2)$ is $m = \frac{y_2 - y_1}{x_2 - \underline{\hspace{1cm}}}$.
What is the slope of the line with the equation $y = -3x + 5$?
$5$
$-3$
$\frac{1}{5}$
$3$
Which equation represents the line shown in the graph?
$y = \frac{1}{2}x + 1$
$y = x + 2$
$y = 2x + 1$
$y = -2x + 1$
In the slope-intercept form of a linear equation, $y = mx + b$, the variable '$b$' represents the ___.
What is the y-intercept of the line $y = \frac{1}{2}x - 4$?
$(0, -4)$
$(-4, 0)$
$(0, \frac{1}{2})$
$(2, 0)$
Which equation has a slope of $4$ and a y-intercept of $-2$?
$y = 4x - 2$
$y = 2x - 4$
$y = -2x + 4$
$y = 4x + 2$
What is the equation of the line graphed below?
$y = -3x - 2$
$y = \frac{1}{3}x - 2$
$y = 3x - 2$
$y = -\frac{1}{3}x - 2$
A line has a slope of $-1$ and passes through the point $(0, 7)$. What is its equation?
$y = -x - 7$
$y = -x + 7$
$y = 7x - 1$
$y = x + 7$
Which of the following equations is written in standard form?
$y = 2x - 5$
$y - 3 = 4(x - 1)$
$\frac{y}{2} = x$
$2x + 3y = 6$
Rewrite the equation $y = -2x + 8$ in standard form ($Ax + By = C$).
$x + 2y = 8$
$2x - y = -8$
$-2x + y = 8$
$2x + y = 8$
For the equation $5x - 3y = 15$ in standard form $Ax + By = C$, the value of A is ___.
What is the slope of the line given by the equation $4x + 2y = 10$?
What is the y-intercept of the line given by the equation $3x - 5y = 30$?
$(10, 0)$
$(0, 6)$
$(0, -\frac{5}{3})$
$(0, -6)$
Which point lies on the line with the equation $x - 2y = 4$?
$(0, 2)$
$(4, 1)$
$(2, 3)$
$(6, 1)$
Consider the graph of the equation $y = 2x - 3$ shown below. Which statement is true?
The line passes through the point $(2, 1)$
The y-intercept is $(0, 3)$
The x-intercept is $(0, 1.5)$
The slope is negative
The line for the equation $y = -3x + 2$ is graphed below. To draw this line, you would first plot the y-intercept. What is the next step to find a second point?
From the y-intercept, move down 3 units and left 1 unit.
From the origin, move down 3 units and right 1 unit.
From the y-intercept, move down 3 units and right 1 unit.
From the y-intercept, move up 3 units and right 1 unit.
The graph of $y = \frac{1}{2}x + 1$ is shown. Based on the two points marked, what are the 'rise' and 'run' of the slope?
Rise 2, Run 1
Rise 1, Run 2
Rise -1, Run 2
Rise 1, Run -2
Identify the equation for the line graphed. The y-intercept is at $(0, -4)$ and another point on the line is $(3, -2)$.
$y = \frac{3}{2}x - 4$
$y = \frac{2}{3}x - 4$
$y = 2x - 3$
$y = -\frac{2}{3}x - 4$
The graph for an equation $y = mx+b$ is shown. Which of the following is true about the slope $m$ and the y-intercept $b$?
$m < 0$ and $b > 0$
$m > 0$ and $b > 0$
$m < 0$ and $b < 0$
$m > 0$ and $b < 0$
What is the x-intercept of the equation $2x + 5y = 10$?
$(5, 0)$
$(0, 5)$
Find the y-intercept of the line $y = 4x - 12$.
$(0, 4)$
$(0, -12)$
$(0, 3)$
What is the x-coordinate of the x-intercept for the line $6x - 3y = 24$?
The graph of a linear equation is shown. What are the x- and y-intercepts?
x-intercept is $(-6, 0)$, y-intercept is $(0, 4)$
x-intercept is $(0, -6)$, y-intercept is $(4, 0)$
x-intercept is $(4, 0)$, y-intercept is $(0, -6)$
x-intercept is $(6, 0)$, y-intercept is $(0, 4)$
A line has an x-intercept at $(9, 0)$ and a y-intercept at $(0, -3)$. What is the slope of the line?
$-\frac{1}{3}$
$\frac{1}{3}$
Which equation represents a line that has an x-intercept of $5$ and a y-intercept of $2$?
$5x + 2y = 10$
$2x - 5y = 10$
$2x + 5y = 10$
$5x - 2y = 10$
What is the equation of a line with a slope of $3$ that passes through the point $(1, 5)$?
$y = 3x + 2$
$y = 5x + 1$
$y = 3x + 5$
Find the equation of the line that passes through $(-2, 4)$ and has a slope of $-1$.
$y = -x - 2$
$y = x + 6$
$y = -x + 2$
$y = -x + 4$
A line has a slope of $2$ and passes through the point $(3, 10)$. The equation of the line can be written as $y = 2x + b$. What is the value of $b$?
Which equation represents a line with a slope of $\frac{1}{2}$ passing through $(4, -1)$?
$y = \frac{1}{2}x - 1$
$y = \frac{1}{2}x - 3$
$y = 2x - 9$
The point-slope form is $y - y_1 = m(x - x_1)$. Which equation is the correct application of this form for a line with slope 5 passing through $(2, 8)$?
$y - 2 = 5(x - 8)$
$y + 8 = 5(x + 2)$
$x - 2 = 5(y - 8)$
$y - 8 = 5(x - 2)$
A line passes through the point $(-6, 0)$ and has a slope of $-\frac{2}{3}$. What is its equation in standard form?
$3x + 2y = -18$
$2x + 3y = 12$
$2x + 3y = -12$
$2x - 3y = -12$
What is the equation of the line that passes through the points $(1, 2)$ and $(3, 8)$?
$y = 3x - 1$
$y = 3x + 1$
$y = 2x$
Find the equation of the line passing through $(-1, 6)$ and $(2, 0)$.
$y = -x + 5$
$y = -3x + 3$
$y = 2x + 8$
A line passes through $(0, 5)$ and $(4, 3)$. What is its equation?
$y = -2x + 5$
$y = \frac{1}{2}x + 5$
$y = 2x + 5$
$y = -\frac{1}{2}x + 5$
What is the equation of the line connecting points $(-5, -2)$ and $(5, 4)$?
$y = \frac{3}{5}x - 1$
$y = \frac{3}{5}x + 1$
$y = \frac{2}{5}x$
$y = \frac{5}{3}x + 1$
A line contains the points $(2, 7)$ and $(-1, 7)$. What is the equation of the line?
$y = x + 5$
$x = 7$
$y = 7$
$y = 2x + 3$
The first step in finding the equation of a line through two given points is to:
find the y-intercept
plot the points
write the equation in standard form
calculate the slope
What is the equation of a horizontal line passing through the point $(2, -5)$?
$x = 2$
$y = -5$
$x = -5$
$y = 2$
What is the slope of a vertical line?
$1$
Undefined
$-1$
What is the equation of the line shown in the graph?
$x = 3$
$x = -3$
$y = 0$
$y = -3$
Which of the following equations represents a vertical line?
$y = x+8$
$y = x$
$x = 8$
$y = 8$
What is the slope of the line with the equation $y = 4$?
The equation of the x-axis is $y = \underline{\hspace{1cm}}$.
What is the slope of the line passing through the points $(2, 3)$ and $(4, 7)$?
Calculate the slope of the line that passes through the points $(-1, 5)$ and $(2, -4)$.
What is the slope of the line passing through the points $(3, 6)$ and $(8, 6)$?
Determine the slope of the line that contains the points $(5, 1)$ and $(5, -3)$.
$-4$
What is the slope of the line represented by the equation $y = mx + 5$?
What is the y-intercept of the line given by the equation $3y = 6x - 9$?
$-9$
Which of the following equations represents the line shown in the graph?
$y = x - 1$
$y = -x + 1$
$y = x + 1$
A line has a slope of $\frac{1}{2}$ and a y-intercept of $-3$. What is its equation?
$y = \frac{1}{2}x + 3$
$y = -3x + \frac{1}{2}$
Find the x-intercept of the line $2x + 4y = 8$.
$(0,4)$
$(2,0)$
$(4,0)$
$(0,2)$
Find the y-intercept of the line $5x - 3y = 15$.
$(0,5)$
$(3,0)$
$(-3,0)$
$(0,-5)$
What are the x and y intercepts of the line $y = 3x - 6$?
x-intercept: $-6$, y-intercept: $2$
x-intercept: $3$, y-intercept: $-6$
x-intercept: $-2$, y-intercept: $6$
x-intercept: $2$, y-intercept: $-6$
A line has an x-intercept of $4$ and a y-intercept of $-2$. What is the equation of the line?
$y = -\frac{1}{2}x + 2$
$y = \frac{1}{2}x - 2$
What is the equation of a line with a slope of $3$ that passes through the point $(1, 2)$?
Write the equation of a line with a slope of $-\frac{1}{2}$ that passes through the point $(4, -1)$.
$y = -2x + 7$
$y = -\frac{1}{2}x + 1$
$y = -\frac{1}{2}x - 1$
A line passes through the point $(-3, 5)$ and has a slope of $0$. What is the equation of the line?
$y = 5$
A line passes through the point $(2, -6)$ and has an undefined slope. What is the equation of the line?
$x = -6$
$y = -6$
Find the equation of the line that passes through the points $(1, 1)$ and $(3, 5)$.
$y = 2x - 1$
$y = \frac{1}{2}x + \frac{1}{2}$
$y = -2x + 3$
What is the equation of the line passing through $(-2, 8)$ and $(1, 2)$?
$y = -\frac{1}{2}x + 7$
$y = -3x + 2$
$y = 2x + 12$
Find the equation of the line that passes through the points $(0, 4)$ and $(2, 0)$.
$y = -\frac{1}{2}x + 4$
$y = -2x + 2$
$y = 2x + 4$
A line passes through the points $(5, -2)$ and $(5, 9)$. What is the equation of this line?
$x = 5$
$y = -2$
$y = x - 7$
The slope of the line passing through the points $(-4, 7)$ and $(1, -3)$ is __.
The line $y = \frac{3}{4}x - 2$ has a y-intercept at the point $(0, \_\_\_)$.
The x-intercept of the equation $3x - 5y = 30$ is $(\_\_\_, 0)$.
The equation of the line with a slope of $-4$ that passes through the point $(2, 3)$, in the form $y=mx+b$, is $y = \_\_\_$.
The y-intercept of the line passing through the points $(2, 5)$ and $(4, 11)$ is ___.
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