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

##### 1 Answer

May 29, 2017

#### 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"#