Question

What is the equation of a line with Slope=-5 Passing through (-4,-2)?

Answer 1

`5x+y = -18`

Explanation:

Using the general slope-point form:
`color(white)("XXXX")` `y-b = m(x-a)` with slope `m` through `(a,b)`
we can write (using the given values:
`color(white)("XXXX")` `y+2 =(-5)(x+4)`
which is a valid equation for the given values;
however, we typically want to express this in a "prettier" form:
`color(white)("XXXX")` `y+2 = -5x -20`

`color(white)("XXXX")` `5x+y = -18`