Question 1

Given the linear equation $y = -x + 2$, what is the slope of the line?

Accepted Answer

$-1$

Question 2

Which of the following equations represents a line with a positive slope?

Accepted Answer

$y = x - 2$

Question 3

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

Accepted Answer

$2$

Question 4

What is the $y$-intercept of the line $y = -x + 2$?

Accepted Answer

$2$

Question 5

Which of the following best describes the graph of $y = -x + 2$?

Accepted Answer

A line that slopes downward from left to right

Question 6

If a line has the equation $y = x - 2$, what is the $x$-intercept?

Accepted Answer

$x = 2$

Question 7

Which equation represents a line parallel to $y = -x + 2$?

Accepted Answer

$y = -x - 3$

Question 8

If the slope of a line is $-1$, which of the following could be its equation?

Accepted Answer

$y = -x + 5$

Question 9

A line passes through the points $(0, 2)$ and $(2, 0)$. What is its equation?

Accepted Answer

$y = -x + 2$

Question 10

Which of the following statements is true about the line $y = x - 2$?

Accepted Answer

It has a positive slope and a negative $y$-intercept.

Question 11

If the equation of a line is $y = -x + 2$, what is the value of $y$ when $x = 3$?

Accepted Answer

$-1$

Question 12

Which of the following points lies on the line $y = x - 2$?

Accepted Answer

$(3, 1)$

Question 13

If a line has the equation $y = -x + 2$, what is the change in $y$ when $x$ increases by $1$?

Accepted Answer

$y$ decreases by $1$

Question 14

Which of the following is the equation of a line perpendicular to $y = -x + 2$?

Accepted Answer

$y = x + 1$

Question 15

If the equation of a line is $y = x - 2$, what is the value of $y$ when $x = 0$?

Accepted Answer

$-2$

Graphs of Linear Equations and Slope Concepts

Study Guide - Practice Questions