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What is an equation of the line that passes through the points (−6,−2) and (6, 8)

1 Answer

5 votes

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

Explanation:

To find the equation of the line with the given points, we want to first find the slope then the y-intercept. We use the formula
m=(y_2-y_1)/(x_2-x_1).


m=(8-(-2))/(6-(-6)) =(10)/(12)=(5)/(6)

Now that we know the slope, we can use one of the points to find the y-intercept.


8=(5)/(6)(6)+b [multiply]


8=5+b [subtract both sides by 5]


b=3

Now, we know the equation is
y=(5)/(6)x+3.

User Vihaan Verma
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