Question

Through the point (-3,-1) with a slope of -2, what is the equation of the line?

A) y=5x+4
B) V=2r+5
C) y=−4x+5
D) V=4x+5

Answer 1

The equation of the line passing through the point (-3,-1) with a slope of -2 is y = -2x - 7.

Step-by-step explanation:

To find the equation of a line, we can use the formula y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -2 and the point (-3,-1) lies on the line, we can substitute these values into the formula to find the y-intercept.

By substituting the values, we can solve for b: -1 = (-2)(-3) + b. Simplifying this equation gives us b = -1 - 6 = -7.

Therefore, the equation of the line is y = -2x - 7.