Question

What is the standard form equation of the line passing through (–2, 8) with a slope of 2?

Answer 1

`2x-y=-12`

Explanation:

`"the equation of a line in "color(blue)"standard form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))`
where A is a positive integer and B, C are integers.

`"find the equation firstly in "color(blue)"point-slope form"`

`• y-y_1=m(x-x_1)`
where m represents the slope and `(x_1,y_1)" a point on the line"`

`"here " m=2" and " (x_1,y_1)=(-2,8)`

`rArry-8=2(x+2)larrcolor(red)" in point-slope form"`

`"rearrange into standard form"`

`y-8=2x+4`

`y-2x=4+8`

`rArr-2x+y=12larr" multiply through by - 1"`

`rArr2x-y=-12larrcolor(red)" in standard form"`