Question 1

Which of the following is the correct slope of the line passing through the points $$ (4, 2) $$ and $$ (7, 3) $$?

Accepted Answer

$$ m = \dfrac{1}{3} $$

Question 2

Given the equation $$ 2x - 6y = 12 $$, what is the y-intercept of the line?

Accepted Answer

$$ (0, -2) $$

Question 3

A line passes through the point $$ (2, 0) $$ and has a slope of $$ -\dfrac{4}{5} . $$What is the equation of the line in slope-intercept form?

Accepted Answer

$$ y = -\dfrac{4}{5}x + \dfrac{8}{5} $$

Question 4

Which of the following statements is TRUE about the line $$ x = -6 $$?

Accepted Answer

It is a vertical line with an undefined slope.

Question 5

Find the x-intercept of the line $$ y = -5x + 6 .$$

Accepted Answer

$$ (1.2, 0) $$

Question 6

Given the points $$ (2, -3) $$ and $$ (-4, -3) $$, what is the slope of the line passing through them?

Accepted Answer

$$ m = 0 $$

Question 7

Which of the following equations represents a horizontal line?

Accepted Answer

$$ y = 3 $$

Question 8

A line passes through $$ (-3, 1) $$ and has a slope of $$ \dfrac{7}{2} . $$What is the equation of the line in point-slope form?

Accepted Answer

$$ y - 1 = \dfrac{7}{2}(x + 3) $$

Question 9

What is the slope of the line given by the equation $$ 5y = -7x $$?

Accepted Answer

$$ m = -\dfrac{7}{5} $$

Question 10

Which of the following best describes the slope of a vertical line?

Accepted Answer

The slope is undefined.

Question 11

A city engineer is designing a wheelchair ramp that rises 2 feet for every 24 feet of horizontal distance. What is the slope of the ramp?

Accepted Answer

$$ m = \dfrac{1}{12} $$

Question 12

Given the equation $$ -5x + 2y = 10 $$, what is the y-intercept?

Accepted Answer

$$ (0, 5) $$

Question 13

A horizontal line passes through the point $$ (5, 7) . $$What is its equation?

Accepted Answer

$$ y = 7 $$

Question 14

Find the slope of the line passing through the points $$ (-2, 3) $$ and $$ (-5, 7) .$$

Accepted Answer

$$ m = -\dfrac{4}{3} $$

Question 15

Which of the following is the correct slope for the line $$ 3x - 2y = 12 $$?

Accepted Answer

$$ m = \dfrac{3}{2} $$

Question 16

A vertical line passes through the point $$ (2, -5) . $$What is its equation?

Accepted Answer

$$ x = 2 $$

Question 17

If a line has the equation $$ y = mx + b $$ and passes through the points $$ (0, 4) $$ and $$ (2, 10) $$, what is the value of $$ m $$?

Accepted Answer

$$ m = 3 $$

Question 18

Which of the following is the correct x-intercept for the line $$ 3y = 2x - 6 $$?

Accepted Answer

$$ (3, 0) $$

Question 19

A vertical line passes through $$ (-9, -1) . $$What is the slope of this line?

Accepted Answer

The slope is undefined.

Question 20

A real estate agent is analyzing a property boundary described by the equation $$ y = 2x + 5 . $$What is the y-intercept of this boundary line?

Accepted Answer

$$ (0, 5) $$

Graphing Lines and Finding Slope in College Algebra

Study Guide - Practice Questions