How do you write an equation in point slope form given (–5, 8), (–4, –6)?

1 Answer
Jim G.
Jul 15, 2018

#y-8=-14(x+5)#

Explanation:

#"the equation of a line in "color(blue)"point-slope form"# is.

#•color(white)(x)y-b=m(x-a)#

#"where m is the slope and "(a,b)" 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)=(-5,8)" and "(x_2,y_2)=(-4,-6)#

#m=(-6-8)/(-4-(-5))=(-14)/1=-14#

#"use either of the 2 given points for "(a,b)#

#"using "(a,b)=(-5,8)" then"#

#y-8=-14(x+5)larrcolor(red)"in point-slope form"#

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