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

Answer:

Step-by-step 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!