Question #553e5

1 Answer
Jim G.
Jan 31, 2018

#y=5/3x+20/3#

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)=(-1,5)" and "(x_2,y_2)=(-4,0)#

#rArrm=(0-5)/(-4+1)=(-5)/(-3)=5/3#

#rArry=5/3x+blarrcolor(blue)"is the partial equation"#

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

#"using "(-4,0)#

#0=-20/3+brArrb=20/3#

#rArry=5/3x+20/3larrcolor(blue)"equation of line"#

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