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.

Answer 1

Answer: y =
`(3)/(5)`x +
`(4)/(5)`

Explanation:

We will write the equation with the slope given, substitute the given point in, solve for the y-intercept, and then substitute both the slope and the y-intercept we found into our final equation.

y = mx + b

y = 3/5x + b

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

-1 = -1.8 + b

0.8 = b

y = mx + b

y = (3/5)x + (4/5)

y = 3/5x + 4/5