Answer:
y=8x+36
Step-by-step explanation:
Use y=mx+b. First find m, the slope.
To do that, use y2-y1/x2-x1. Use any two point combinations from the table. You can use (6,84) and (12,132).
Y2 would be 132 and Y1 would be 84, and X2 would be 12 while X1 is 6. Just look at the pointss. For example, Y2 is 132 because (12,132). 132 is in y's spot. Same goes for x.
Now that we got y2, y1, x2, and x1, we can plug it into the formula and solve.
y2-y1/x2-x1= 132-84/12-6= 48/6= 8
This means the slope is 8. Now, we need to find the y intercept.
Use y=mx+b again and use any pair of points. I'm going to use (6,84).
y=mx+b. Plug in the slope, which is 8.
y=8x+b
y=8x+b. Plug in the y. The y variable is 84 so plug that in.
84=8x+b. Same for the x. The x variable is 6 so plug that in as well.
84=8(6)+b. Now simplify it.
84=48+b. You want to isolate b to find the y intercept so move the 48 to the left side.
It's now 84-48=b. The 48 because negative because whenever you move a number to the other side, it switches its sign.
Solve.
84-48=b
36=b or b=36. So the y intercept is 36.
We now have our slope and the y intercept.
Slope: 8
Y intercept: 36
We can plug that into y=mx+b a final time.
y=8x+36
