Review 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

Select all of the equations which are in point-slope form.

• y = 2 + 5(x - 2)

• 3x + 2y = 12

• y + 2 = 1/4(x + 4)

• y = 4x + 6

• 2y = 5x - 7

Answer explanation

Another form of the point-slope equation puts the y-coordinate on the other side of the equals sign with the y. So it looks like y - y1 = m(x - x1).

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)

Answer explanation

Find the slope by subtracting the y values, divided by the subtracted x values. Then choose one of the points to plug into y = y1 + m(x - x1).

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

• y = 6 - 3(x - 1)

• y = -6 - 3(x + 1)

• y = 1 - 3(x - 6)

• y = -1 - 3(x + 6)

Convert the equation of the line

y = -5 - 3(x - 6)

into slope intercept form. (Simplify to y = mx + b)

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

The line with the equation

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

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

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)

What is the point slope form equation of the graph given (use blue point in equation)

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)

Answer explanation

Remember that sometimes we can write point-slope form as y - y1 = m(x - x1). First write it like you normally do, then do the opposite operation to move y1 to the left side.

Convert the equation of the line

y - 2 = 9(x + 1)

into slope intercept form.

• y = 9x + 11

• y = 9x + 7

• y = 9x + 3

• y = 9x + 13

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3