Graphing Linear Equations and Slopes

The video tutorial explains how to solve a system of equations by graphing. It begins with an introduction to the concept, followed by a step-by-step guide on graphing two equations using the slope-intercept form. The tutorial demonstrates how to plot the y-intercept and apply the slope to draw each line. Finally, it shows how to find the intersection point of the two lines, which represents the solution to the system of equations.

What is the first step in solving a system of equations by graphing?

• Graph the equations

• Find the intersection point

• Solve algebraically

• Check the solutions

What is the y-intercept of the first equation?

• -4

• 2

• 6

• 7

What is the slope of the first equation?

• 2/7

• -8/7

• 7/8

• -2/7

How do you apply a negative slope when graphing?

• Go down and to the right

• Go down and to the left

• Go up and to the left

• Go up and to the right

What is the y-intercept of the second equation?

• -4

• 7

• 6

• 2

What is the slope of the second equation?

• -8/7

• 2/7

• 7/2

• -2/7

How do you apply a positive slope when graphing?

• Go up and to the left

• Go down and to the right

• Go down and to the left

• Go up and to the right

At what point do the two lines intersect?

• -4, 6

• 2, 7

• 7, -2

• 6, -4