Question

What is the equation of a line that passes through the points (3,6) and (8, 4)?

Answer 1

First, we must determine the slope of the line using slope formula*.

`m = (4 - 6)/(8 - 3) = (-2)/(5) = -(2)/(5)`

Now that we have our slope, we find the y-intercept, or b, by pluging in the slope we found and one of the given points into slope-intercept form**.

`6 = -(2)/(5)(3) + b\\\\6 = -(8)/(5) + b\\\\ (36)/(5) = b`

We can now create the equation of the line.

• 
  `m = -(2)/(5)`

• 
  `b = (36)/(5)`

The equation of the line is:
`y = -(2)/(5)x + (36)/(5)`

Answer 2

the one ur on is correct

Explanation: