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

Question

asked Nov 23, 2023 37.1k views

2 Answers

Hary · Answer 1 · 2023-11-28T20:07:32+0000

Answer:

C

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

calculate m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m =
(-1-3)/(2-0) =
(-4)/(2) = - 2

using (a, b ) = (2, - 1 ) , then

y - (- 1) = - 2(x - 2) , that is

y + 1 = - 2(x - 2)