Question

PLEASE HELP EXPLAIN THIS!?!

(picture below)

I have part A however idk how to work out part B how would i write the equation out???

Answer 1

Using your approximate y-intercept on the line of best fit, your equation would be y=11/7x + 3.

We find the slope by choosing two points that are on the line:

(9, 18) is easy to spot; and (2, 7) is fairly easy to spot as well. The formula for slope is:
m=y₂-y₁/x₂-x₁

m=7-18/2-9 = -11/-7 = 11/7

Slope intercept form, y=mx+b, has the slope and the y-intercept. Plugging those in we have y=11/7x+3.

Answer 2

The generic equation of the line is:
y-yo = m (x-xo)
We look for the slope:
m = (y2-y1) / (x2-x1)
m = (18-15) / (9-7)
m = (3) / (2)
m = 3/2
We write the equation choosing any point:
y-15 = (3/2) (x-7)
we rewrite the equation:
y-15 = (3/2) x-10.5
y = (3/2) x-10.5 + 15
y = (3/2) x + 4.5
Then, for x = 13 we have:
y = (3/2) * (13) +4.5
y = 24
Answer:
The equation is:
y = (3/2) x + 4.5
The number of matches won for 13 months is:
y = 24