Question

How do you write an equation in standard form given a line that passes through (-5,-2) with slope -3?

Answer 1

Given the point `(-5,-2)` and the slope `(-3)` we can easily write the linear equation in slope-point form and then convert it to standard form.

Slope-Point Form
`(y-y_1) = m(x-x_1)` for a slope of `m` and a point `(x_1,y_1)`
becomes
`(y-(-2))= (-3)(x-(-5))`
or
`y+2 = (-3)(x+5)`

Standard Form
Standard form of a linear equation is
`Ax+By=C` with `A>=0 and AepsilonZZ`
`y+2 = (-3)(x+5)`
`rarr y+2 = -3x -15`

`rarr 3x+1y = -17`

which is in standard form