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A line passes through the points (6,-6) and (9,-5). What is it’s equation in point slope form?

User Aeskr
by
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1 Answer

13 votes

Answer:


y=(1)/(3)x-8

Explanation:

Slope-intercept form of an equation is written as
y=mx+b, where
m is the slope and
b is the y-intercept.

The slope of a line that passes through the points
(x_1,\: y_1) and
(x_2, \: y_2) is
m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1). Using the coordinates
(6,-6) and
(9,-5) as given in the problem, we have slope of this line to be:


m=(-5-(-6))/(9-6)=(1)/(3).

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:


-6=(1)/(3)(6)+b, \\ b=-8

Therefore, the equation of this line in slope-intercept form is
\fbox{$y=(1)/(3)x-8$}.

User Eglasius
by
7.8k points

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