Writing an Equation from a Slope and a Point

​Equation of a line from the slope and a point

​Fall 2022

Multiple Choice

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

Multiple Choice

Find the slope

• $$m=\frac{9}{2}$$

• $$m=\frac{3}{6}$$

• $$m=\frac{7}{3}$$

• $$m=\frac{2}{7}$$

Multiple Choice

Which of the following could be the equation for this line?

• y = -5/7x - 3

• y = 7/5x - 3

• y = -7/5x - 3

• y = 5/7x - 3

Multiple Choice

ax + c = R
(solve for x) 

• ax = R + c

• ax = R - c

• x = a(R-c)

• x = (R-c) / a 

Fill in the Blanks

What is the correct form for the equation of a line?

Multiple Choice

What 2 things do you need to know in order to write the equation of a line or graph a linear equation?

• The slope and y-intercept

• The x and y intercepts

• The slope and x-intercept

• Ketchup and mustard

Fill in the Blanks

y = mx + b

M stands for what?

Fill in the Blanks

y = mx + b

b stand for what?

Fill in the Blanks

m= 4

b = -3

What is the equation of the line?

Multiple Choice

m = 3

line contains the point (0, -3)

What is the equation of the line?

• y = 3x + 0

• y = 3x - 3

• y = -3x + 3

• y = -3

Multiple Choice

m = 3/4

The line contains the point (4, 2)

What is the equation of the line?

• y = 3/4x - 1

• y = 3/4x + 2

• y = 3/4x - 4

• I have no idea.

​The equation of a line from slope and any point

Steps:

1. Label your x and y coordinate as "x" and "y"

2. Plug slope, x, and y into y = mx + b

3. Solve for b.

4. Put it all together into y = mx + b form.

Subject | Subject

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​Example 1

​slope: 2 Point: (1,5)

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​example 2

Slope: 3/4

Point (8, 10)​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Review Question:

Put the equation into slope-intercept form

-5x + 3y = -30

• y = 5/3x - 25

• y = -5x - 30

• y = 5/3x - 10

• 3y = 5x - 30

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​Duplicate this text as many times as you would like.

​slope: -1 POInt (-5, 1)

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​Duplicate this text as many times as you would like.

​Slope: 3 Point: (-2,-5)

​Example 3 and 4

Some text here about the topic of discussion

Fill in the Blanks

You try!!!

slope: 6/5 point: (5,2)

Fill in the Blanks

Slope: 1/2 Point: (5, 2)