# How do you write the point slope form of the equation given (0,0) and (-3,-2)?

##### 1 Answer

Apr 20, 2018

#### Explanation:

#"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"#

#"to calculate m use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(0,0)" and "(x_2,y_2)=(-3,-2)#

#rArrm=(-2-0)/(-3-0)=(-2)/(-3)=2/3#

#"using "m=2/3" and "(x_1,y_1)=(-3,-2)" then"#

#y-(-2)=2/3(x-(-3))#

#rArry+2=2/3(x+3)larrcolor(red)"in point-slope form"#