What is the equation of the line passing through #(3,7)# and #(13,19)#?

1 Answer
Jim G.
Mar 29, 2018

#y=6/5x+17/5#

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)=(3,7)" and "(x_2,y_2)=(13,19)#

#rArrm=(19-7)/(13-3)=12/10=6/5#

#rArry=6/5x+blarrcolor(blue)"is the partial equation"#

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

#"using "(3,7)" then"#

#7=18/5+brArrb=35/5-18/5=17/5#

#rArry=6/5x+17/5larrcolor(red)"is the equation of line"#

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