# How do you write an equation in standard form for a line which passes through (3, 5) and slope=2?

##### 1 Answer

Apr 1, 2018

#### 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=2" and "(x_1,y_1)=(3,5)#

#rArry-5=2(x-3)larrcolor(blue)"in point-slope form"#

#"distribute and arrange in standard form"#

#rArry-5=2x-6#

#rArr2x-y=1larrcolor(red)"in standard form"#