Using Point Slope Form

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)
• Ax + By = C
• y = mx + b

What is the strategy for graphing point-slope form?

• Graph the y-intercept, then use the slope to move.

• Divide to find the x- and y-intercepts.

• Graph the given point, then move according to slope.

Select all of the following equations in point-slope form.

• y - 2 = 5(x - 2)

• 3x + 2y = 12

• y + 2 = 1/4(x + 4)

• y = 4x + 6

• 2y = 5x - 7

For the equation

y + 1 = −3(x - 5),

the line contains the point (5, −1), but what is the slope?

• −1

• 3

• −3

• 5

Tags

CCSS.HSS.ID.C.7

For the equation

y + 1 = 1/4(x - 5),

the line contains the point (5, −1), but what is the slope?

• 1

• 5

• 1/4

• −1

Tags

CCSS.HSS.ID.C.7

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

• (-4, 3)
• (3, -4)
• (-3, -4)
• (-4, -3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

For the equation

y + 2 = 5(x - 4),

the line has a slope of 5 and contains what point?

• (4,−2)

• (−4,2)

• (5,0)

• (4,2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

For the equation

y + 3 = -4(x - 2),

which of the following is true?

• The line has m = −4 passing through the point (2, -3)

• The line has m = 4 passing through the point (3, −2)

• The line has m = 3 passing through the point (-4, -2)

• The line has m = −4 passing through the point (−3, 2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

For the equation
y - 3 = 2(x + 4),
which of the following is true?

• The line has m = 2 passing through the point (4, -3)
• The line has m = 2 passing through the point (3, -4)
• The line has m = 2 passing through the point (-4, 3)
• The line has m = 2 passing through the point (-3, 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

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