# How do you write the standard form of a line given (-2, 4) and has a slope of 1/2?

##### 2 Answers

Aug 15, 2016

#### Explanation:

Aug 15, 2016

#### Explanation:

The equation of a line in

#color(blue)"point-slope form"# is.

#color(red)(|bar(ul(color(white)(a/a)color(black)(y-y_1=m(x-x_1))color(white)(a/a)|)))#

where m represents the slope and#(x_1,y_1)" a point on the line"# here

#m=1/2" and " (x_1,y_1)=(-2,4)# substitute these values into the equation.

#rArry-4=1/2(x+2)# distribute the bracket and collect 'like terms'

#y-4=1/2x+1rArry=1/2x+5" is the equation"#