Question

What is the slope intercept form of the line passing through `(-16,-3)` with a slope of `-3/2`?

Answer 1

`2y+3x=-41`

Explanation:

The given equation of course can be simply be compared to the general slope intercept equation
`y-y_o=m(x-x_o)`
With `y_o=-16` and `x_o=-3` and `m=-3/2` we get
`y+16=-3/2(x+3)`
Simplifying the equation, we get
`2y+32=-3x-9\implies2y+3x=-41` which is what we started out to find.