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

Answer:

B. $y = x - 12$

Step-by-step explanation:

First, find the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{5 - 9}{-7 + 3} = \frac{-4}{-4} = 1$

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.

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