Question

What is the equation of a line that passes through (-3, -5) and has a slope of -2?

Answer 1

Equation of the line: y=mx + b, where y = your y coordinate, m = your slope and x = your x coordinate.

Answer 2

so they are asking for the equation of a line, which is in the form of y= mx + b

Since we are given the slope, which is m=-2, then the only thing we have to find is b.

for that we do the following, we know that (-3,-5), is a (x,y) point on the line so:
y=-2x +b;
-5=-2(-3) + b

-5=6+b
b=-11

so the equation of the line is:

y=-2x-11

Answer 3

Therefore, -5 = -2(-3) + b
b = -5 - 6 = -11
Eqn: Y = -2x - 11