Graphing Linear Equations with X and Y Intercepts

Mr. Maisonette explains how to graph linear equations using x and y intercepts. He demonstrates finding intercepts by substituting zero for the opposite variable and solving the equation. The video includes examples and addresses cases where intercepts are not suitable for graphing, suggesting the use of slope-intercept form instead. The tutorial concludes with a summary of key points and encourages viewers to subscribe for more math content.

What do you need to know to graph a line on the coordinate plane?

• The y-intercept

• The location of two points

• The slope of the line

• The x-intercept

Where does the x-intercept of a line occur?

• Where the line crosses the y-axis

• Where the y-value is 1

• Where the x-value is 1

• Where the line crosses the x-axis

What is the y-value at the x-intercept?

• 1

• 0

• Depends on the equation

• Undefined

How do you find the x-intercept of an equation?

• Set x to 1 and solve for y

• Set x to 0 and solve for y

• Set y to 1 and solve for x

• Set y to 0 and solve for x

What are the coordinates of the x-intercept for the equation 5x - 3y = 15?

• (0, -5)

• (0, 5)

• (3, 0)

• (-3, 0)

What is the y-intercept of the equation 5x - 3y = 15?

• (-3, 0)

• (0, -5)

• (3, 0)

• (0, 5)

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

What is the x-intercept for the equation 6x - 5y = 30?

• (6, 0)

• (0, -6)

• (5, 0)

• (0, 6)

What is the y-intercept for the equation 6x - 5y = 30?

• (0, -6)

• (6, 0)

• (5, 0)

• (0, 6)

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

What should you do if the x and y intercepts do not fit on the coordinate plane?

• Use a different coordinate plane

• Change the equation into slope-intercept form

• Ignore the intercepts

• Use only the x-intercept

Tags

CCSS.HSF-IF.C.7A

What is the slope-intercept form of the equation 2x + 8y = 56?

• y = 1/4x - 7

• y = -1/4x + 7

• y = -1/4x - 7

• y = 1/4x + 7

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6