How do you write the equation of the line that passes through (–3, 4) with a slope of 2 in point-slope form?

1 Answer
Jim G.
Mar 2, 2017

#y-4=2(x+3)#

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=2" and "(x_1,y_1)=(-3,4)#

substitute these values into the equation.

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

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

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