Slope Review Vocabulary

What are the slope and one point on the graph of the equation below? y − 12 = 4/9 (x + 7)

• Slope: 4/9

  Point: (7, 12)

• Slope: 4/9

  Point: (-7, 12)

• Slope: 4/9

  Point: (7, -12)

• Slope: 4/9

  Point: (-7, -12)

What is an equation of the line that passes through the point (3, -8) and has slope -2?

• Y + 8 = -2 (x + 3)

• Y + 8 = -2 (x - 3)

• Y - 8 = -2 (x + 3)

• Y - 8 = -2 (x - 3)

Review: Draw lines matching the slopes (m) and y-intercepts (b) with their equations.

Vocabulary Review: Circle each equation that is in slope-intercept form.

What is the slope and y-intercept of the following linear equation, select the two that apply.

y = 3x - 1

• Slope = 3, y-intercept = 1

• Slope = 3, y-intercept = -1

• Slope = 1, y-intercept = 3

• Slope = -1, y-intercept= 3

Answer explanation

In slope-intercept form y=mx + b where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

The slopes of two perpendicular lines are _____________.

• The same

• Reciprocals

• Negative reciprocals

• Not related

Tags

CCSS.8.EE.B.6

Fill in the blank.

Two lines that are _______________ have the same slope and different y-intercept.

• Perpendicular

• Parallel

• Neither

• 
• 
• 
• 

Answer explanation

In slope intercept form y=mx + b where m is the slope and b is the y-intercept.

Since the slope is negative, when we look at it from left to right it should have a downhill slope look to it. Y direction is in the numerator, and the X direction is in the denominator. So we go down 1, right 2, to get from one point to the other. OR up one, left 2. 

The y-intercept is a positive number, so it is located above the x-axis. It is located at y = 4.

Given the two points, write an equation in slope intercept form that passes through the two points.

Write the equation in point-slope form of the line that passes through the given point with the given slope.

(a)