Question #bf300

1 Answer
Jim G.
Dec 9, 2017

#y=8x-25#

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,-1)" and "(x_2,y_2)=(4,7)#

#rArrm=(7-(-1))/(4-3)=8#

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

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

#"using "(4,7)#

#7=32+brArrb=7-32=-25#

#rArry=8x-25larrcolor(red)"in slope-intercept form"#

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