Point-Slope Equations

What is point-slope form?

• y = mx + b

• Ax + By = C

• A² + B² = C²

• y - y₁= m(x - x₁)

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

Tags

CCSS.HSS.ID.C.7

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

• y - 5 = -3(x - 10)

• y= -3x + 35

• y + 5= -3(x + 10)

• y= -3x - 35

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)

Tags

CCSS.HSA.CED.A.2

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

• y - 3 = 1(x - 2)
• y + 3 = 1(x + 2)
• y -3 = -1(x + 2)
• y + 3 = -1(x - 2)

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

Write an equation of a line in point-slope form that goes through the points (3, 7) and ( 0, 1).

• y = 3(x - 3) + 7

• y = 2(x - 3) + 7

• y = 2(x + 3) + 7

• y = 2(x - 3) - 7

Write an equation in point-slope form for the line through the point (-3, 4) with a slope of (-1, -6).

• y = -5(x - 3) + 4

• y = -5(x - 4) - 3

• y = -5(x + 3) + 4

• y = -5(x + 3) - 4

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y intercept of

the line with the equation

y - 6 = -2(x + 5)

• -4

• -5

• -10

• 6

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3