# How do you write an equation of a line given point (1,-5) and slope -3/2?

##### 1 Answer

Sep 4, 2016

#### Explanation:

We can begin by writing 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=-3/2" and " (x_1,y_1)=(1,-5)# substitute these values into the equation.

#y-(-5)=-3/2(x-1)# distribute the bracket and collect like terms

#y+5=-3/2x+3/2rArry=-3/2x-7/2" is the equation"#