Question

How to write an equation in standard form for a line through (-5,4); slope -3?

Answer 1

The most common definition of "standard form for a linear equation is
`Ax+By=C`

For a point `(x_1,y_1) = (-5,4)` and a slope `m=(-3)`
We can start from the point-slope form:
`(y-y_1)/(x-x_1) = m`

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

`y-4 = -3x-15`

`3x+y = -11`