Question

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)

Answer 1

The form of the point-slope equation is

`y-y_1=m(x-x_1)`

m is the slope

(x1, y1) is a point on the line

Since the given slope is 5/2, then

`m=(5)/(2)`

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

`x_1=-4,y_1=-7`

Substitute them in the form above

`\begin{gathered} y--7=(5)/(2)(x--4) \\ \\ y+7=(5)/(2)(x+4) \end{gathered}`

The correct answer is B