Question

a line has a slope of 8 and passes through the points (3, 26) and (-1,-6) what is the equation of the line?

Answer 1

Explanation:

`y = mx + b\\`

We know that
`m` is going to be 8

All that's left now is to find
`b`

Let's make a system of equations where we plug in the known values of x and y for each coordinate

`\left \{ {{-6 = 8(-1) + b} \atop {26 = 8(3) + b}} \right. \\`

For this system of equations solution, please check the image that's annexed

Now that we know that
`b` is 2, we can plug that into
`y = 8x+b` and get

`y=8x+2`

We can graphically verify this answer by using a graphing calculator (if you have one) or Desmos (check the other image that's annexed)

Good luck!