How do you find the equation given (-4,-5) with slope -3/2?

1 Answer
Jim G.
Jul 27, 2016

#y=-3/2x-11#

Explanation:

Since given a point and slope find the equation of the line using the #color(blue)"point-slope form"#

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

here #m=-3/2" and " (x_1,y_1)=(-4,-5)#

Substitute these values into the equation.

#rArry-(-5)=-3/2(x-(-4))#

distribute the bracket and simplify.

#rArry+5=-3/2x-6rArry=-3/2x-11" is the equation"#

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