What is the equation of the line passing through #(-1,5)# and #(14,-3)#?

1 Answer
Jim G.
Apr 20, 2018

#y=-8/15x+67/15#

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)=(-1,5)" and "(x_2,y_2)=(14,-3)#

#rArrm=(-3-5)/(14-(-1))=(-8)/15=-8/15#

#rArry=-8/15x+blarrcolor(blue)"is the partial equation"#

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

#"using "(-1,5)" then"#

#5=8/15+brArrb=75/15-8/15=67/15#

#rArry=-8/15x+67/15larrcolor(red)"equation of line"#

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