# How do you write the equation in point slope form given (0,9) and (2,0)?

##### 2 Answers

May 23, 2018

#### Explanation:

the slope is given by

for the equation

May 23, 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)=(0,9)" and "(x_2,y_2)=(2,0)#

#m=(0-9)/(2-0)=(-9)/2=-9/2#

#"using "m=-9/2" and "(x_1,y_1)=(2,0)#

#y-0=-9/2(x-2)larrcolor(red)"in point-slope form"#

#"or "y=-9/2(x-2)#