What is an equation of the line that passes through the points (1,8) and (-1, -2)? Put your answer in fully reduced form.

y=5x+3

Step-by-step explanation:

First, we need to find the slope. Remember that the slope equation is .

If we plug in the given points we get m=5. (let me know if you need further elaboration on this step)

So now that we have a slope, we can plug it into the slope-intercept equation.

y=mx+b

y=5x+b

We still need to find b (y-intercept), but luckily, we were given two points that we could plug in. I'm going to use (1,8) here.

8=5(1)+b

8=5+b

b=3

Now we have all of our parts and can put them into the equation.

y=5x+3

Hope this helped!