Answer:
y = 5x + 3
Step-by-step explanation:
First we need to find the slope.
The equation to find the slope is m = y2 - y1/x2 - x1 -----> (x1 and x2 just mean the x coordinate for the 2 points, so basically in this case, x1 would be 1 and x2 would be 3. Same for y1 and y2, just the y coordination of each point. y1 = 8 and y2 = 18)
m = 18 - 8/ 3 - 1
m = 10/2
m = 5
The slope would be 2 or 2/1. If you have a fraction that does not divide evenly, such as 3/5, DO NOT simplify unless specified.
Now that we have the slope, we can put this into point-slope form. The formula for this form is:
y - y1 = m(x - x1)
For this you would have to choose one of your points.
I'm going to choose the first one.
y - 8 = 5(x - 1) ----> Always remember in this formula the "m" is the slope, and we previously found out that it was 2, so plug 2 into m
From here just do basic multiplication and addition/subtraction.
y - 8 = 5x - 5
+8 +8
y = 5x + 3
To test to see if these go through your points, plug the 2 points and equation into a website called desmos. (Very good site, and if your teacher has not recommend it, I highly advise using it. )
