How do you write an equation in point slope form given (−2, 1) and (4, 13)?

1 Answer
Jim G.
May 8, 2018

#y-13=2(x-4)#

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)=(-2,1)" and "(x_2,y_2)=(4,13)#

#rArrm=(13-1)/(4-(-2))=12/6=2#

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

#"using "m=2" and "(x_1,y_1)=(4,13)" then"#

#y-13=2(x-4)larrcolor(red)"in point-slope form"#

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