Solving Systems of Equations by Graphing

The video tutorial explains how to solve a system of linear equations by graphing. It begins by introducing the concept of systems of equations and the goal of finding the intersection point of two lines. The tutorial then demonstrates graphing each equation separately, identifying key points using the slope and y-intercept. Finally, it shows how to find the intersection point, which represents the solution to the system of equations.

What type of equations are being solved in this problem?

• Linear equations

• Exponential equations

• Quadratic equations

• Logarithmic equations

Tags

CCSS.8.EE.C.8B

What is the goal when solving a system of equations by graphing?

• Finding the x-intercept of each line

• Finding the y-intercept of each line

• Finding the slope of each line

• Finding the point where the two lines intersect

Tags

CCSS.8.EE.B.5

What is the slope of the line represented by the equation y = x + 3?

• 1

• 3

• 0

• -1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept of the line represented by the equation y = x + 3?

• 3

• -3

• 1

• 0

When graphing y = x + 3, if you start at the y-intercept, what is the next point you plot?

• (1, 2)

• (1, 3)

• (0, 3)

• (1, 4)

Tags

CCSS.8.EE.B.5

What is the slope of the line represented by the equation y = -x - 2?

• -2

• -1

• 1

• 0

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept of the line represented by the equation y = -x - 2?

• 1

• 0

• -2

• -1

When graphing y = -x - 2, if you start at the y-intercept, what is the next point you plot?

• (1, -3)

• (-1, -1)

• (1, -1)

• (-1, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Where do the lines y = x + 3 and y = -x - 2 intersect?

• (2, -1)

• (-2, 0)

• (2.5, -0.5)

• (-2.5, 0.5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What are the values of x and y at the intersection point of the two lines?

• x = 2.5, y = -0.5

• x = -2.5, y = 0.5

• x = 2, y = -1

• x = -2, y = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6