How do you find the equation of the line given m=3, (3,2)?

1 Answer
Jim G.
Feb 19, 2017

#y=3x-7#

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=3" and " (x_1,y_1)=(3,2)#

substitute these values into the equation.

#y-2=3(x-3)larrcolor(red)" in point-slope form"#

distributing and simplifying gives an alternative version of the equation.

#y-2=3x-9#

#y=3x-9+2#

#rArry=3x-7larrcolor(red)" slope-intercept form"#

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