Question 1

Given the points $A(2, 4)$ and $B(6, 12)$, what is the equation of the line passing through these points in slope-intercept form?

Accepted Answer

$y = 2x$

Question 2

What is the slope of the line passing through the points $(-3, 7)$ and $(5, -1)$?

Accepted Answer

$m = -1$

Question 3

If a line has the equation $y = -\frac{3}{2}x + 5$, what is the $y$-intercept?

Accepted Answer

$5$

Question 4

Which of the following points lies on the line $y = 4x - 7$?

Accepted Answer

$(3, 5)$

Question 5

A real-world scenario: A taxi charges a flat fee of $\$3$ plus $\$2$ per mile. Which equation models the total cost $C$ for $x$ miles?

Accepted Answer

$C = 2x + 3$

Question 6

Find the equation of the line parallel to $y = -\frac{1}{2}x + 4$ that passes through the point $(2, 3)$.

Accepted Answer

$y = -\frac{1}{2}x + 4$

Question 7

If the line $y = mx + b$ passes through $(1, 2)$ and $(3, 10)$, what are the values of $m$ and $b$?

Accepted Answer

$m = 4, b = -2$

Question 8

Which of the following is the correct slope-intercept form for a line with slope $-3$ and passing through $(0, 7)$?

Accepted Answer

$y = -3x + 7$

Question 9

A line passes through $(4, -2)$ and has a slope of $\frac{1}{2}$. What is its equation in point-slope form?

Accepted Answer

$y + 2 = \frac{1}{2}(x - 4)$

Question 10

If the equation of a line is $2x - 3y = 6$, what is the slope of the line?

Accepted Answer

$\frac{2}{3}$

Slope and Equation of a Line: Finding the Equation from Two Points

Study Guide - Practice Questions