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vodka [1.7K]
3 years ago
7

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

Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

Answer: y=\frac{5}{6}x+3

Step-by-step 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=\frac{y_2-y_1}{x_2-x_1}.

m=\frac{8-(-2)}{6-(-6)} =\frac{10}{12}=\frac{5}{6}

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

8=\frac{5}{6}(6)+b            [multiply]

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

b=3

Now, we know the equation is y=\frac{5}{6}x+3.

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