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!

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

the answer is b