What is the equation of the line that passes through (3, -7) and (-2, 4)?

1 Answer
Jim G.
Sep 10, 2017

#y=-11/5x-2/5#

Explanation:

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

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#

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

#"to calculate m use the "color(blue)"gradient formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#

#"let "(x_1,y_1)=(3,-7)" and "(x_2,y_2)=(-2,4)#

#rArrm=(4-(-7))/(-2-3)=11/(-5)=-11/5#

#rArry=-11/5x+blarr" partial equation"#

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

#"using "(-2,4)#

#4=22/5+brArrb=-2/5#

#rArry=-11/5x-2/5larrcolor(red)" in slope-intercept form"#

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