Question

A line with a slope of -2 passes through the point (3,-1). Which of the following is the equation of the

line?

Answer 1

C.) y = -2x + 5

Explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".

m = -2 x = 3 y = -1

y = mx + b <---- General structure

y = -2x + b <---- Plug -2 in for "m"

-1 = -2(3) + b <---- Plug "x" and "y" values in from point

-1 = -6 + b <---- Multiply -2 and 3

5 = b <---- Add 6 to both sides

Therefore, the equation of the line is:

y = -2x + 5