Question

A line passes through the point (-1, -2) and has a slope of 5.

Write an equation in slope-intercept form for this line.

Answer 1

`y=5x+3`

Explanation:

Slope-intercept form:
`y=mx+b` where
`m` is the slope and
`b` is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

`y=mx+b\\y=5x+b`

2) Find the y-intercept
`b` by plugging in the point (-1,-2)

`y=5x+b\\-2=5(-1)+b\\-2=-5+b`

Add 5 to both sides

`-2+5=-5+b+5\\3=b`

3) Plug the y-intercept back into the equation

`y=5x+3`

I hope this helps!