Equations of Lines in Context

Solve the following system of equations with whichever method you prefer:

y = 1/2x + 4

y = -2x + 9

What should be your first step to solve the following system of equations using the Elimination Method?

• Add the equations together to eliminate the x's

• Multiply the top equation by 3, so you can eliminate the y's

• Multiply the bottom equation by 2, so you can eliminate the x's

• Set the two equations equal to each other

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations:

3x + y = 1

4x + y = 2

• x = 1

• y = 4

• y = -2

• x = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The following system of equations have infinite solutions.

2x - 4y = 10

x = 2y + 5

• True

• False

Tags

CCSS.8.EE.C.8B

Write an equation of the line that passes through (-3, -4) and is parallel to the line y = 4/3x - 9.

• y = 4/3x + 1

• y = -3/4x - 9

• y = 4/3x

• y = -3/4x

What is the equation in standard form of the line that passes through the point (6, -1) and is parallel to the line 8x+3y=15?

• 8x+3y=-45

• 8x+3y=10

• 8x-3y=45

• 8x-3y=10

Write the standard form of an equation that is perpendicular to
2x - 5y = 10
and passes through (-2, 1).

• 2x + 5y = 1

• 2x - 5y = -9

• 5x + 2y = -8

• 5x - 2y = -12

What is a solution to a system of equations?

• Where the two lines intersect

• The location where either lines crosses the x-axis

• The location where either lines crosses the y-axis

• The difference between the slopes of the two lines

Tags

CCSS.8.EE.C.8B

What is the solution to the following system of equations:

-6x + 2y = 76

3x - y = -38

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6