Slopes and Finding Equations of Lines

Given A(1, 7), B(8, 4), and C(3, 10), which coordinate will make AB parallel to CD ?

• D(0, 17)

• D(6, 17)

• D(10, 7)

• D(10, -13)

Tags

CCSS.8.EE.B.6

Given A(–1, 4), B(2, –5), and C(3, 4), which coordinate will make AB perpendicular to CD?

• D(6, 5)

• D(2, 1)

• D(5, –2)

• D(6, 3)

Tags

CCSS.HSG.GPE.B.6

Which is an equation of the line with slope 4 and a y-intercept –3?

• y = –3x + 4

• y = –3x + 3/4

• y = 4x – 3

• y = 4x – 3/4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which is an equation of the line with slope 2 that passes through (3, 1)?

• y – 1 = 2(x – 3)

• y + 1 = 2(x + 3)

• y – 3 = 2(x – 1)

• y – 3 = (x – 2)

5. Are the following parallel, perpendicular, or neither?

3x + 6y = 12

6x + 3y = 15

• parallel

• perpendicular

• neither

• congruent

Tags

CCSS.8.EE.B.6

6. Are these lines parallel, perpendicular, or neither?

y – 2 = 1/5 x

5x + y = 6

• parallel

• perpendicular

• neither

• congruent

Tags

CCSS.8.EE.B.6

Yoga lessons cost $5 per lesson if Kylie enrolls in the health club for a fee of $120 per year. Suppose Kylie joins the health club. Which equation represents the yearly cost C of ℓ yoga lessons?

• C = 5ℓ

• C = 5 ℓ + 120

• C = 5ℓ – 120

• C = 5(ℓ + 120)

Tags

CCSS.HSF-BF.A.1A

Find the slope of the line containing A(0, 5), B(5, 0)?

• -1

• 0

• 1

• 2

Tags

CCSS.8.EE.B.5

Which is an equation of the line containing (1, –3) and (7, 15)?

• y = –3x + 8

• y = 3x

• y = 3x – 6

• y = 3x – 10

Find P along the directed line segment from A(-8, -8) to B(2, 7) that divides the segment into the ratio of 2:3.

• (3, 6)

• (-4, -2)

• (2, 3)

• (4, 5)

Tags

CCSS.HSG.GPE.B.6