How do you determine the equation of the line given A(-6, -2), B(6, 8)?

1 Answer
Sarah D.
Oct 18, 2017

y=5/6x+3

Explanation:

The first step would be to find the slope that would be used in the equation. This is done using the slope formula, (y_2-y_1)/(x_2-x_1). So,
(8- (-2))/(6-(-6)) = 10/12 = 5/6

Therefore the slope would be 5/6. Now we take this slope and one of the points given to us and we plug them into the equation of a line, y=mx+b. Let's use point B, (6,8)

8=5/6(6)+b
8=5+b
b=3

Then we plug the m and b values we have found into y=mx+b to create the equation of the line.
y=5/6x+3

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