Linear Equations and Their Graphs

This video tutorial covers 8th grade math concepts related to graphing and writing linear equations. It begins with an introduction to linear equations in slope-intercept form, followed by examples demonstrating how to find the slope and y-intercept. The video also explains how to graph equations and identify x-intercepts. Practice problems are provided for students to apply their learning. The tutorial concludes with a discussion on how changes in slope and y-intercept affect the graph of an equation.

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

• y = a/x + b

• y = mx + b

• y = ax + b

• y = ax^2 + bx + c

In the equation y = -4x - 2, what is the slope?

• -2

• -4

• 4

• 2

For the equation y = 3/2x + 5, what is the y-intercept?

• 0

• 3/2

• 5

• -5

How do you find the x-intercept of a linear equation?

• Set the slope to 0

• Set y to 0 and solve for x

• Set both x and y to 0

• Set x to 0 and solve for y

What is the x-intercept of the equation y = -3x + 3?

• -3

• 3

• -1

• 1

What happens to the graph of a linear equation if the slope m is increased?

• The line becomes steeper

• The line becomes flatter

• The line shifts up

• The line shifts down

How does changing the y-intercept b affect the graph of a linear equation?

• It has no effect

• It shifts the line vertically

• It changes the slope

• It rotates the line

In the equation y = -1x + 0.25, what is the slope?

• 0.25

• 1

• -0.25

• -1

What is the y-intercept of the equation y = -3/4x + 2?

• -2

• 3/4

• 2

• -3/4

What is the x-intercept of the equation y = 7x - 4?

• 4

• -4

• -7

• 7