What is the equation of the line between #(-11,12)# and #(7,-7)#?

1 Answer
Jim G.
Apr 27, 2018

#y=-19/18x+7/18#

Explanation:

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

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"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)=(-11,12)" and "(x_2,y_2)=(7,-7)#

#rArrm=(-7-12)/(7-(-11))=(-19)/18=-19/18#

#rArry=-19/18x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute either of the 2 given points into"#
#"the partial equation"#

#"using "(-11,12)" then "#

#12=209/18+brArrb=216/18-209/18=7/18#

#rArry=-19/18x+7/18larrcolor(red)"equation of line"#

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