How do you write the equation in slope intercept form given (3, -2), (5, 4)?

1 Answer
Jim G.
Dec 3, 2017

#y=3x-11#

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

#rArrm=(4-(-2))/(5-3)=6/2=3#

#rArry=3x+blarrcolor(blue)"is the partial equation"#

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

#"using "(5,4)#

#4=(3xx5)+brArrb=4-15=-11#

#rArry=3x-11larrcolor(red)"in slope-intercept form"#

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