Question

What is the slope intercept from of the equation of the line that passes through (7, -5) and (3, -9)

A y=x+12
B y=x-12
C y=x+5
D y=x—4

Answer 1

B.
`y = x - 12`

Explanation:

First, find the rate of change [slope]:

`(-y_1 + y_2)/(-x_1 + x_2) = m`

`(5 - 9)/(-7 + 3) = (-4)/(-4) = 1`

Then use the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done faster that way. It does not matter which ordered pair you choose:

−9 = 3 + b

−12 = b

`y = x - 12`

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−5 = 7 + b

−12 = b

`y = x - 12`

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.