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Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol

Heyy Pls Help Worth 20 Points And Please Only Help If You Know The Answer Also No Links Those R Kinda Annoying Lol class=

Sagot :

AlgebraicAardvark

Step 1: Find the slope:

    [tex]m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} = \dfrac{-9}{6}= -\dfrac{3}{2}[/tex]

This gives you [tex]y=-\dfrac{3}{2}x+b[/tex], but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one.  I'll go with (4,-2):

    [tex]\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}[/tex]

Now take that b-value and plug in into the slope-intercept form:

     [tex]y=-\dfrac{3}{2}x+4[/tex]

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

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