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Which of the following point-slope form equations could be produced with the points (-5, -2) and (1, 2)?


a.y + 2 = 2/3(x - 5)


b.y + 2 = -2/3(x + 5)


c.y + 2 = 2/3(x + 5)


d.y - 2 = 2/3(x + 5)

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 (-5, -2) and (1, 2). Substitute:

[tex]m=\dfrac{2-(-2)}{1-(-5)}=\dfrac{2+2}{1+5}=\dfrac{4}{6}=\dfrac{2}{3}\\\\y-(-2)=\dfrac{2}{3}(x-(-5))\\\\\y+2=\dfrac{2}{3}(x+5)\to c.[/tex]

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