Answer:
y = 4x +b
Explanation:
The question asks you to write in slop intercept form which is y = mx+b so first you ahve to solve for the slope (m) and the formula for that is m = y2-y1/x2-x1
and bascially you plug in any points that are on the table and use the y's and x's
so im going to use the first two points
m = (11-7) / (2-1)
= 4 / 1
= 4
so the slope equals four and we can plug that into our slope intercept equation
y = 4x + b and now we need to slove for b the y intercept and we can do that by plugging in any points from the table into our equation (to understand why this works probaly ask you teacher for a in-depth explination)
im going to use the first points again and plug it into our equation
7 = 4(1) + b (mutiply 1 by four)
7 = 4 +b (isolate b so subtract four from each side)
-4 -4
3 = b so we now know the slope and the y intercept so our equation in slope intercept form will be y = 4x +3