Question

Use the coordinates of the labeled point to find a point-slope equation of the

line.
5
5
(-2,-5) 6.5
>
O A. y- 5 = -2(x - 2)
O B. y + 5 = 2(x + 2)
O C. y + 5 = -2(x + 2)
OD. y- 5 = 2(x - 2)

Answer 1

B.
`y + 5 = 2(x + 2)`

Explanation:

Point-slope equation is given as
`y - b = m(x - a)`, where,

(a, b) = (-2, -5)

`m = slope = (y_2 - y_1)/(x_2 - x_1)`

Using two points on the line (-2, -5) and (0, -1),

Slope (m) = (-1 -(-5))/(0 -(-2)) = 4/2

m = 2

✔️To write the equation in point-slope form, substitute a = -2, b = -5, and m = 2 into
`y - b = m(x - a)`

Thus:

`y - (-5) = 2(x - (-2))`

`y + 5 = 2(x + 2)`