Point Slope Form

6.2 Point Slope Form

by Mr. Hare

​What is Point Slope Form?

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Multiple Choice

What is point slope form?

• $$y=mx+b$$  

• $$m=\frac{y_2-y_1}{x_2-x_1}$$  

• $$y-y_1=m\left(x-x_1\right)$$  

• $$y-x=m\left(x_1-y_1\right)$$  

​Write an equation in point-slope form for each line

Multiple Choice

Write an equation is point-slope form for each line.

Slope is 1/3 and (-3, 1) is on the line.

• $$y+3=\frac{1}{3}\left(x-1\right)$$  

• $$y+1=\frac{1}{3}\left(x-3\right)$$  

• $$y-3=\frac{1}{3}\left(x+1\right)$$  

• $$y-1=\frac{1}{3}\left(x+3\right)$$  

Fill in the Blanks

Write an equation is point-slope form for each line.

Slope is 6 and (1, 2) is on the line.

​Write an equation in point-slope form for each line.

​

​Solve the problem using an equation in point-slope form

​

Fill in the Blanks

Solve the Problem by using the point-slope form.

Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $11. After 4 months, she has paid a total of $59. Use a linear equation in point-slope form to find the signup fee. (Hint: How much did she pay when she first signed up? You need to understand what number will represent that initial month!)

The sign up fee is $

. Type the number only!

Write an equation in point-slope form for each​ Line

Multiple Select

Which equation(s) represent point slope form of the line that contains the following ordered pairs:

(4, -6) (7, -10)

Select all that apply.

• $$y+10=-\frac{4}{3}\left(x-7\right)$$  

• $$y-10=-\frac{4}{3}\left(x+7\right)$$  

• $$y+6=-\frac{3}{4}\left(x-4\right)$$  

• $$y+6=-\frac{4}{3}\left(x-4\right)$$  

• $$y+10=-\frac{4}{3}\left(x-4\right)$$  

Multiple Choice

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

• $$y-3=\left(x-2\right)$$  

• $$y+3=\left(x+2\right)$$  

• $$y-3=-\left(x+2\right)$$  

• $$y+3=-\left(x-2\right)$$  

​Solve the problem using an equation in point-slope form

​Solve the problem using an equation in point-slope form

Fill in the Blanks

Solve the problem using an equation in point-slope form.

A roller skating rink offers a special rate for birthday parties.

On the same day, a party for 10 skaters cost $107 and a party

for 15 skaters cost $137. How much would a party for 12 skaters cost?

A party for 12 skaters will cost $

. Just type the number only!