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(12,-9) and (-2,-2) in slope intercept form and if u want the points please explain how u got it

Sagot :

Answer:

[tex]y= -\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Slope intercept form :

y = mx + b

m is the slope

b is the y-intercept

Let's look for m, use the formula [tex]\frac{(y_{1}-y_{2} ) }{(x_{1} -x_{2} )}[/tex] to determine it.

[tex]\frac{-9 - (-2)}{12 - (-2)}[/tex] [tex]= -\frac{1}{2}[/tex]

[tex]y = -\frac{1}{2}x+b[/tex]

Now find b, we simply need to plug in one of our coordinates to get our answer.

(12, -9)

[tex]-9=-\frac{1}{2} (12)+b[/tex]

Solve for b :

-9 = -6 + b

-3 = b

b = -3

Our slope intercept is :

[tex]y = -\frac{1}{2}x - 3[/tex]

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