Linear Equations and Their Solutions

Mrs. Yaod teaches Math 8 students how to solve systems of linear equations by graphing. The lesson covers graphing multiple systems of equations, identifying points of intersection, and determining solutions. Students are guided through several examples, each demonstrating how to find the solution by graphing the equations and identifying where the lines intersect.

What is a system of linear equations?

• A polynomial equation

• A quadratic equation

• A set of two or more linear equations

• A single linear equation

How is the solution to a system of linear equations represented on a graph?

• As a line

• As a shaded region

• As a curve

• As a point where the lines intersect

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

• -1

• 2

• 0

• 1

In the equation y = 3x + 1, what does the number 3 represent?

• The y-intercept

• The slope

• The x-intercept

• The constant term

What is the solution to the system of equations y = 3x + 1 and y = -2x - 4?

• (2, 3)

• (1, 1)

• (0, 0)

• (-1, -2)

For the equation y = -4x + 1, what is the slope?

• -1

• 1

• 4

• -4

What is the y-intercept of the equation y = 5x - 8?

• -8

• 5

• 8

• 0

How do you convert x - y = 4 into slope-intercept form?

• y = x + 4

• y = -x - 4

• y = x - 4

• y = -x + 4

What is the solution to the system of equations y = x - 7 and y + x = 3?

• (2, -5)

• (5, -2)

• (3, 5)

• (-5, 2)

What is the slope of the line y = x - 7?

• -1

• 1

• 0

• 7