Point Slope Form

Point Slope Form

y-y₁= m(x - x₁)

y-y₁= m(x - x₁)

m= 2

(1, 6)

m is your slope

1 is your x value

6 is your y value

Plug in your values

y- 6= 2(x - 1)

Multiple Choice

m= 5

(2, 4)

• y - 2= 5(x - 4)

• y - 4= 5(x - 2)

• y- 5 = 4(x - 2)

• y - 2 = 4(x - 5)

Multiple Choice

m= 3

(1, 7)

• y - 7 = 3( x - 1)

• y - 1 = 3( x - 7)

• y - 3 = 3( x - 1)

• y - 1 = 7( x - 3)

Multiple Choice

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

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

Multiple Choice

m=4

(2, 2)

• y- 2 = 4( x - 2)

• y- 4=4(x - 2)

• y- 2= 2( x - 2)

• y + 2 = 4(x + 2)

Multiple Choice

m=6

(2, 7)

• y - 7 = 2( x - 6)

• y - 7 = 6( x - 2)

• y - 7 = 6( x + 2)

• y - 7 = 3( x - 6)

y - y₁= m(x - x₁)

When your COORDINATE has a negative value, you must change it to positive.

m=5

(-1, 2)

y - 2 = 5(x + 1)

Notice how at the end it was +1 because it was -1 as the x value.

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

• y + 1 = -3(x - 2)

• y + 1 = -3(x + 2)

• y - 1 = 3(x - 1)

• y + 2 = -3(x + 1)

Multiple Choice

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

(4, -7); m = -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)