Respuesta :

Answer:[tex](-7-2)=-3(-3-0)[/tex]

Step-by-step explanation:

First use slope intercept form to find the value of b (the y intercept). The slope intercept formula is

[tex]y=mx+b[/tex]

Since we are given the point (-3,2), we can say that y=2 and x=-3. m=-3. Then we get

[tex]2=-3(-3)+b[/tex]

[tex]2=9+b[/tex]

[tex]b=-7[/tex]

Since we now have the y intercept, we can convert it to a point: (0,-7). Plug this into the point slope equation:

[tex](y_{1}-y_{2})=m(x_{1}-x_{2})[/tex]

Our first point is (-3,2). Our second point is (0,-7). Therefore:

[tex]x_{1}=-3\\y_{1}=2\\x_{2}=0\\y_{2}=-7\\m=-3[/tex]

Plugging into the equation, we get

[tex](-7-2)=-3(-3-0)[/tex]

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