The slope is the change in y over change in x
Given the points (1,8), (2,11), (3,14), (2,17) we can use the table to figure out what our equation will be
Notice on the table as you go on the y term from 8 to 11 to 14 to 17 you are having a constant rate of change of 3. So that’s your change in y
On the left side which is your x, you are going up by 1 every time because it’s {1,2,3,4} So your change in x is 1
Your slope or m in y=mx+b can be found by using the following formula
Change in y/change in x
So here our change in y is 3 and our change in x is 1. So that means our slope is
m=3/1 = 3
y=3x+b
To find b, you can plug in one of the points. Let’s use (1,8). So x=1 and y=8. Now we can plug these in and solve for b.
8=3(1)+b
8=3+b
Subtracting 3 on both sides we have
b=5
Therefore given y=3x+(b) we can plug b in to obtain the following equation
y=3x+5. So that’s your answer
I hope this helps!!! Mark for brainliest!!!
