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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