+0

# help

0
64
2

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

Apr 29, 2020

#1
+711
+2

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
+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