# How do you write the equation in point slope form given (3,8) and (9,0)?

##### 2 Answers

#### 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)=(3,8)" and "(x_2,y_2)=(9,0)#

#rArrm=(0-8)/(9-3)=(-8)/6=-4/3#

#"using "(x_1,y_1)=(3,8)" as a point on the line then"#

#y-8=-4/3(x-3)larrcolor(red)"in point-slope form"#

See a solution step below..

#### Explanation:

Recall the equation of a line is;

Where;

Also recall that;

where;

substituting the values

using these points

Therefore;

As required..