# How do you find the point-slope form of the equation of the line passing through the points (-7, 0) and (5, 4)?

##### 2 Answers

#### Explanation:

#"the equation of a line in "color(blue)"point-slope form"# is.

#•color(white)(x)y-b=m(x-a)#

#"where m is the slope and "(a,b)" 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)=(-7,0)" and "(x_2,y_2)=(5,4)#

#m=(4-0)/(5-(-7))=4/12=1/3#

#"use either of the 2 given points as point on the line"#

#"using "(5,4)" then"#

#y-4=1/3(x-5)larrcolor(red)"in point-slope form"#

#### Explanation:

**First you determine the slope:**

**Now use the Point Slope form of a line:**

You can use any point on the line, let's use the second one since both values are positive: