What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)

Question

asked Oct 19, 2020 61.7k views

2 Answers

Samuel Urbanowicz · Answer 1 · 2020-10-24T08:37:41+0000

Answer:

y+6=-2(x-4)

Explanation:

Point-slope form of a line is
y-y_1=m(x-x_1) where the slope is
and
(x_1,y_1) is a point on the line.

We know both of those things so we have enough information without doing any math to do this problem. You just got to plug in.

So replace
with -2,
x_1 with 4, and
y_1 with -6.

Like so:

y-(-6)=-2(x-4) .

You can simplify a little:

y+6=-2(x-4) .