Question

How do to you write in standard form of a line through point (-3,2) and m=1?

Answer 1

The equation in standard form is `x-y=-5`.

Start by writing the equation in point-slope form.

`(y-y_1)=m(x-x_1)` =

`(y-2)=(1)(x-(-3))` =

`y-2=x+3`

Convert to slope-intercept form: `y=mx+b`. Solve for `y`.

`y=x+5`

Convert to standard form: Ax+By=C .

`-x+y=5`

Multiply both sides times -1.

`x-y=-5`