Graphing Systems of Equations in 8th Grade Math

The video tutorial explains how to solve a system of linear equations by graphing. It begins with an introduction to the concept, followed by detailed steps to graph each equation by finding their intercepts. The tutorial then demonstrates how to identify the intersection point of the two graphs, which represents the solution to the system. Finally, it verifies the solution by substituting the intersection point back into the original equations.

What is the primary method discussed for solving the system of linear equations?

• Substitution

• Elimination

• Graphing

• Matrix methods

What is the graphical representation of a linear equation?

• A circle

• A hyperbola

• A straight line

• A parabola

What is the y-intercept of the equation 5x + 3y = 7 when x is set to 0?

• 7/3

• 7/5

• -7/3

• 0

What is the x-intercept of the equation 5x + 3y = 7 when y is set to 0?

• 1

• 7/5

• 0

• 5/7

What is the y-intercept of the equation 3x - 2y = 8 when x is set to 0?

• 0

• -8/3

• 4

• -4

What is the x-intercept of the equation 3x - 2y = 8 when y is set to 0?

• 8/3

• 3/8

• 0

• 2 and 2/3

At what point do the lines of the equations 5x + 3y = 7 and 3x - 2y = 8 intersect?

• (2, -1)

• (1, 2)

• (0, 0)

• (3, -2)

Does the point (2, -1) satisfy the equation 5x + 3y = 7?

• Irrelevant to the equations

• Yes

• No

• Insufficient data

Does the point (2, -1) satisfy the equation 3x - 2y = 8?

• Yes

• No

• Insufficient data

• Irrelevant to the equations

What method is used to verify the solution of the system of equations?

• Graphical intersection

• Substitution into equations

• Using a calculator

• None of the above