# How do you write an equation in standard form when given slope and point on line (4, 1), m = -1/2?

##### 2 Answers

Sep 14, 2016

**The equation of the line is**

#### Explanation:

Let the equation of line is

Sep 14, 2016

#### Explanation:

We can write the equation in

#color(blue)"point-slope form"# That 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)=(4,1)# substitute these values into the equation.

#y-1=-1/2(x-4)# distribute the bracket and simplify.

#y-1=-1/2x+2#

#y=-1/2x+2+1#

#rArry=-1/2x+3" is equation in standard form"#