Finding Intercepts and Slopes

The video tutorial guides eighth graders through solving systems of equations by graphing. It begins with an introduction to systems of equations and explains how to graph linear equations by identifying slopes and y-intercepts. The tutorial demonstrates graphing two equations, finding their intersection, and verifying the solution by substituting the intersection point into both equations. Additional examples are provided to reinforce the concepts, including solving systems using intercepts and verifying solutions.

What is the slope of the equation y = 1/3x + 1?

• 1

• -1/3

• 3

• 1/3

Where do the lines y = 1/3x + 1 and y = -3x + 11 intersect?

• (1, 1)

• (2, 3)

• (0, 0)

• (3, 2)

What is the y-intercept of the equation y = -3x + 11?

• 11

• -3

• 1

• 0

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

• 2

• 4

• 0

• 1

What is the solution to the system of equations y = 1/2x + 4 and x + 4y = 4?

• (2, -4)

• (-2, 4)

• (4, -2)

• (-4, 2)

What is the y-intercept of the equation y = 2?

• 10

• 5

• 0

• 2

What is the x-intercept of the equation x + 2y = 10?

• 2

• 10

• 5

• 0

What is the solution to the system of equations -2x + 3y = 18 and 2x + 3y = 6?

• (-4, 3)

• (3, -4)

• (-3, 4)

• (4, -3)

What is the slope of the equation y = 2/3x - 6?

• 2/3

• 3/2

• -2/3

• -6

What is the solution to the system of equations x + 2y = 2 and y = 2/3x - 6?

• (-2, 6)

• (6, -2)

• (2, -6)

• (-6, 2)