Question

A line passes through the points (
–
6,6) and (6,8). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

First, we need to find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

m = (8 - 6) / (6 - (-6))
m = 2 / 12
m = 1 / 6

Now that we have the slope, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Using the point (6,8), we have:

y - 8 = (1/6)(x - 6)

Now we can simplify and rewrite the equation in slope-intercept form (y = mx + b):

y - 8 = (1/6)x - 1
y = (1/6)x + 7

Therefore, the equation of the line passing through the points (-6,6) and (6,8) in slope-intercept form is y = (1/6)x + 7.