Question

How do you write an equation in standard form for a line which passes through (–2, 6) and has a slope of –1?

Answer 1

`x+y=4`

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"`

`"the equation of a line in "color(blue)"point-slope form"` is.

`•color(white)(x)y-y_1=m(x-x_1)`

`"where m is the slope and "(x_1,y_1)" a point on the line"`

`"here "m=-1" and "(x_1,y_1)=(-2,6)`

`rArry-6=-1(x+2)larrcolor(red)"in point-slope form"`

`rArry-6=-x-2`

`rArrx+y=4larrcolor(red)"in standard form"`