Question

How do you find a standard form equation for the line with slope -2 and y-intercept 8?

Answer 1

`y=-2x+8`

Explanation:

We have given

`y=mx+n` where `m` denotes the slope and `n` is the y-intercept, so
`m=-2` and `n=8`

Answer 2

`2x+y=8`

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"`

`"to begin with obtain the equation in "color(blue)"slope-intercept form"`

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"here "m=-2" and "b=8`

`y=-2x+8larrcolor(red)"in slope-intercept form"`

`"add "2x" to both sides"`

`2x+y=8larrcolor(red)"in standard form"`