Graphing Systems of Linear Equations in Slope Intercept Form

In this video, Sam and Rec explain how to solve systems of equations by graphing. They demonstrate the process using two equations in slope-intercept form. The video covers identifying the y-intercept and slope for each equation, graphing them on a coordinate plane, and finding the intersection point that serves as the solution to the system. The solution is verified by substituting the intersection point back into both equations.

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

• Identifying the x-intercept

• Identifying the y-intercept

• Finding the slope

• Solving for x

What is the y-intercept of the first equation?

• (-3, 0)

• (2, 0)

• (0, -3)

• (0, 2)

How do you determine the slope of the first equation?

• By finding the x-intercept

• By solving for y

• By using the coefficient of x

• By finding the y-intercept

What is the slope of the first equation?

• 0

• 2

• 1

• -3

What is the y-intercept of the second equation?

• (0, 1)

• (0, 3)

• (3, 0)

• (1, 0)

What is the slope of the second equation?

• 1

• 2

• 3

• 0

How do you find the intersection point of the two lines?

• By solving for x

• By finding the point that lies on both lines

• By finding the y-intercept

• By finding the x-intercept

What is the intersection point of the two lines?

• (2, 5)

• (0, 3)

• (6, 9)

• (3, 3)

How can you verify the solution to the system of equations?

• By checking if the point lies on both lines

• By finding the x-intercept

• By solving for y

• By finding the y-intercept

What is the final step in solving systems of equations by graphing?

• Finding the x-intercept

• Verifying the solution

• Solving for x

• Finding the y-intercept