How do you write the equation in point slope form given (3, 6) and (0, –3)?

1 Answer
Jim G.
Mar 29, 2018

#y-6=3(x-3)#

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 the slope m use the "color(blue)"gradient formula"#

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

#"let "(x_1,y_1)=(3,6)" and "(x_2,y_2)=(0,-3)#

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

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

#"using "(x_1,y_1)=(3,6)" then"#

#y-6=3(x-3)larrcolor(red)"in point-slope form"#

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