What is the equation of the line and the steps to solve it?

Find the equation of the line passing through the points (7,16) and (2,-4)

1 Answer
Jim G.
Feb 5, 2018

#y=4x-12#

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)=(7,16)" and "(x_2,y_2)=(2,-4)#

#rArrm=(-4-16)/(2-7)=(-20)/(-5)=4#

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

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

#"using "(7,16)#

#16=28+brArrb=16-28=-12#

#rArry=4x-12larrcolor(blue)"in slope-intercept form"#

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