Question

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

Answer 1

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 $y=\frac{5}{6}x+3$.