How do you write the equation in point slope form given (–1, 4) with a slope of –1?

1 Answer
Jim G.
Feb 1, 2017

#y-4=-(x+1)#

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=-1" and " (x_1,y_1)=(-1,4)#

Substitute these values into the equation.

#y-4=-1(x-(-1))#

#rArry-4=-(x+1)larrcolor(red)" in point-slope form"#

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