How do you write an equation in point-slope form for the given (–3, –5) and (3, 0)?

1 Answer
Meave60
Jul 27, 2015

The point-slope form is y+5=5/6(x+3).

Explanation:

First determine the slope from the two points using the slope equation m=(y_2-y_1)/(x_2-x_1), where m is the slope and (x_1,y_1) and (x_2,y_2) are the two points.

(x_1,y_1)=(-3,-5)

(x_2,y_2)=(3,0)

m=(y_2-y_1)/(x_2-x_1)

m=(0-(-5))/(3-(-3)) =

m=5/6

Now use the slope and one point in order to write the linear equation in point-slope form. The general equation for the point-slope form is y-y_1=m(x-x_1). where m is the slope and (x_1,y_1) is one of the two points.

#m=5/6

Point=(-3,-5)

y-y_1=m(x-x_1)

y-(-5)=5/6(x-(-3)) =

y+5=5/6(x+3)

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