Respuesta :

gmany

The point-slope form:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (1, -5) and (-3, 7). Substitute:

[tex]m=\dfrac{7-(-5)}{-3-1}=\dfrac{12}{-4}=-3\\\\y-(-5)=-3(x-1)\\\\\boxed{y+5=-3(x-1)}[/tex]

The slope-intercept form:

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

[tex]y+5=-3(x-1)[/tex]           use distributive property

[tex]y+5=-3x+3[/tex]             subtract 5 from both sides

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

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