Question

How do you write an equation in standard form for a line passing through (–1, 5) with a slope of 2?

Answer 1

Given a point `(x_1,y_1)=(-1,5)` and a slope of `m=2`

We can start with the slope-point form of the equation:
`y-5 = 2(x+1)`

`y-5 = 2x+2`

Standard form is `Ax+By=C`
so we re-arrange:
`(-2)x +(1)y = 7`