Question

Write the equation of the line that passes through (3, −2) and has a slope of 4 in point-slope form. (2 points)

a
y + 2 = 4(x − 3)

b
y − 3 = 4(x + 2)

c
x − 3 = 4(y + 2)

d
x + 2 = 4(y − 3)

Answer 1

A. y+2=4(x-3)

Explanation:

To write an equation in slope-point form you write as;

y-y₁=m(x-x₁) where m is slope of line and (x₁,y₁) is one point on the line

In this question you are given m=4 and (x₁,y₁) as (3,-2) then the equation is

y-y₁=m(x-x₁)-----------------substitute values

y--2=4(x-3)-----------------------simplify further

y+2=4(x-3)