Algebra 4.2 Point-Slope Form

​Point Slope Form

By Kassandra Lucus

Point-Slope Form

point slope form

How to write an equation of a line given 2 points

Point slope forms needs two things:

• A slope

• A point

Write the equation of a line through the points (4, 0) and (-1, 10)

Multiple Choice

Which of these is point-slope?

• $$y-y_1=m\left(x-x_1\right)$$

• $$y=mx+b$$

• $$Ax+By=C$$

Multiple Choice

Write an equation of the line going through the point (-4, 1) with a slope of 1/3.

• $$y-1=\frac{1}{3}\left(x+4\right)$$

• $$y+4=\frac{1}{3}\left(x-1\right)$$

• $$y+1=\frac{1}{3}\left(x-4\right)$$

Multiple Choice

Name the slope of this line:

$$y+1=-\frac{5}{4}\left(x-3\right)$$  

• -5/4
• 4/5

• -3

Multiple Choice

Name the point given in this line: $$y+1=-\frac{5}{4}\left(x-3\right)$$  

• (3,-1)
• (5, 4)

• (-3, 1)

What if I'm given just 2 points?

Slope of line through (4,0) and (-1,10)

Multiple Choice

What is the slope of a line passing through the points (-2, -3) and (4, 3)

• 1
• 4

• 3

Multiple Choice

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)

Multiple Choice

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)

Multiple Select

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

There's 2!

• y - 2 = 5(x - 2)

• 3x + 2y = 12

• y + 2 = 1/4(x + 4)

• y = 4x + 6

• 2y = 5x - 7

Multiple Choice

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)

Multiple Choice

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 - 1 = -3(x - 6)

• y + 1 = -3(x + 3)

Multiple Choice

The line with the equation

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

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

Multiple Choice

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)