Question

How do you find a standard form equation for the line with P (36, 1) and having the slope m = - 1/2?

Answer 1

`x+2y=38`

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.

`"begin by expressing the equation 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"`

`"here " m=-1/2" and " (x_1,y_1)=(36,1)`

`rArry-1=-1/2(x-36)larrcolor(red)" in point-slope form"`

`"rearrange into standard form"`

`y-1=-1/2x+18larr" distributing"`

`1/2x+y=19larr" multipy terms by 2"`

`rArrx+2y=38larrcolor(red)" in standard form"`