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Find the equation of the line passing through the points (1.-2) and (-2,7). Write the equation in slope-intercept form. A) y = 3x + 13 B) y = 3x - 5 C) y = -3x -2 D) y = -3x + 1

Respuesta :

The equation is of the form y=mx+b, where m = slope and b = y-interset. Therefore, find m and b:

For m

[tex]m=\frac{y2-y1}{x2-x1}=\frac{7-(-2)}{-2-1}=\frac{7+2}{-3}=\frac{9}{-3}=-3[/tex]

For b

[tex]\begin{gathered} y=mx+b \\ -2=-3(1)+b \\ -2=-3+b \\ -2+3=-3+b+3 \\ b=1 \end{gathered}[/tex]

So, the equation is:

[tex]y=-3x+1[/tex]

Answer: D.

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