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A line passes through the point (9,9) and (6,3). What is it’s equation in slope-intercept form?

 Apr 29, 2020
 #1
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Hi guest!

 

Since we know the 2 points, we can first use point-slope form and then convert it to slope-intercept form. 

 

Point slope form: \(y-y_1=m(x-x_1)\)

 

First let's find the slope. The slope is \(m=\frac{3-9}{6-9}=\frac{-6}{-3}=2\)

 

So, in point slope form we get \(y-9=2(x-9)\)

This is equal to \(y-9=2x-18\)

\(\boxed{y=2x-9}\)

 

 

I hope this helped you, guest!

:)

 Apr 29, 2020
 #2
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+2

Slightly different method      looking for  y = mx + b

find m slope =   (9-3)/(9-6) = 2

y = 2 x  + b    sub in either point to calculate 'b'

9 = 2(9) + b     b = -9

y = 2x-9

 Apr 29, 2020

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