Question

What is an equation of the line that passes through the points (6,3) and (-6,1)

Answer 1

Answer: y =
`(1)/(6)`x + 2

Explanation:

[1] First, we will graph the points given. See the attachment with [1] in the corner.

[2] Next, we will find the slope.

(2a) Using rise over run. See the attachment with [2] in the corner.

(2b) Use the slope equation:

`\displaystyle (1-3)/(-6-6)= (-2)/(-12) =(1)/(6)`

[3] Find the y-intercept. Look to the graph. See the attachment with [3] in the corner.

This gives us a final answer of y =
`(1)/(6)`x + 2