Question

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form. A.y= 3/5x+4/5 B.y= 3/5x-4/5 C.y=-3/5x-4/5

Answer 1

Slope-intercept form: y = mx + b

m = the slope

b = y-intercept.

In this problem,

m = 3/5

b = ?

So far y = 3/5x + b

Let's plug the point (-3, -1) into our slope equation.

-1 = 3/5(-3) + b

Simplify the right side.

-1 = -9/5 + b

Add 9/5 to both sides.

4/5 = b

The equation is: y = 3/5x + 4/5

Answer choice A is correct.