What is the slope-intercept form of the line passing through # (-5,6) # and #(4,2) #?

1 Answer
Jim G.
May 1, 2018

#y=-4/9x+34/9#

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)=(-5,6)" and "(x_2,y_2)=(4,2)#

#rArrm=(2-6)/(4-(-5))=(-4)/9=-4/9#

#rArry=-4/9x+blarrcolor(blue)"is the partial equation"#

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

#"using "(4,2)" then"#

#2=-16/9+brArrb=18/9+16/9=34/9#

#rArry=-4/9x+34/9larrcolor(red)"in slope-intercept form"#

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