Graphing Linear Equations Warmup 2

What is the slope-intercept form of a linear equation?

• y = mx - b

• y = mx + b

• y = x + b

• y = bx + m

Answer explanation

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept. This format clearly shows how y changes with x, making it the correct choice.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

How do you graph a linear equation using its slope and y-intercept?

• Use the slope to find the x-intercept and plot it on the x-axis

• Plot the y-intercept on the y-axis and use the slope to find a second point

• Ignore the slope and only plot the y-intercept on the y-axis

• Connect the y-intercept to the x-intercept with a straight line

Answer explanation

To graph a linear equation, first plot the y-intercept on the y-axis. Then, use the slope to determine a second point by moving up/down and left/right from the y-intercept. This method accurately represents the line.

Which is the graph of y= -x + 2?

• A

• B

• C

• D

Answer explanation

The equation y = -x + 2 represents a straight line with a slope of -1 and a y-intercept of 2. Graph A correctly shows this line, starting at (0,2) and decreasing as x increases, confirming it as the correct choice.

What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)

• y = 1/3x - 1

• y = 1/4x -1

• y = -1/3x +1

• y = -1/4x + 1 

Answer explanation

The correct equation in Slope-Intercept Form is y = 1/4x - 1. This form clearly shows the slope (1/4) and the y-intercept (-1), making it easy to identify the line's characteristics.