# What is the point-slope form of the line that passes through (5,6) and (3,10)?

##### 1 Answer

Jun 11, 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)=(5,6)" and "(x_2,y_2)=(3,10)#

#m=(10-6)/(3-5)=4/(-2)=-2#

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

#"using "(x_1,y_1)=(5,6)" then"#

#y-6=-2(x-5)larrcolor(red)"in point-slope form"#