Question #1fadf

1 Answer
Jim G.
Apr 7, 2017

#y=-4/3x-6#

Explanation:

The equation of a line in #color(blue)"point-slope form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
where m represents the slope and # (x_1,y_1)" a point on the line"#

#"here "m=-4/3" and " (x_1,y_1)=(-6,2)#

#y-2=-4/3(x-(-6))#

#rArry-2=-4/3(x+6)larrcolor(red)" in point-slope form"#

distribute and simplify gives an alternative version of the equation.

#y-2=-4/3x-8#

#rArry=-4/3x-8+2#

#rArry=-4/3x-6larrcolor(red)" in slope-intercept form"#

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