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33. Write an equation in point–slope form with the given slope and point: 5/2, (–4, –7).A. y = 5/2x + 4B. y + 7 =5/2 (x + 4)C. y – 7 =5/2 (x + 4)D. y + 4 =5/2 (x – 7)

Respuesta :

The form of the point-slope equation is

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope

(x1, y1) is a point on the line

Since the given slope is 5/2, then

[tex]m=\frac{5}{2}[/tex]

Since the given point is (-4, -7), then

[tex]x_1=-4,y_1=-7[/tex]

Substitute them in the form above

[tex]\begin{gathered} y--7=\frac{5}{2}(x--4) \\ \\ y+7=\frac{5}{2}(x+4) \end{gathered}[/tex]

The correct answer is B

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