Answer:
Step-by-step explanation:
Substituting the given table values into the desired equation for a line will give two equations in two unknowns. These can be solved for the slope and y-intercept.
Equation we're substituting into:
y = mx +b
11 = m(1) +b . . . . . substitute (x, y) = (1, 11)
15 = m(2) +b . . . . substitute (x, y) = (2, 15)
Subtracting the first equation from the second gives ...
(15) -(11) = (2m +b) -(m +b)
4 = m
Substituting this into the first equation gives ...
11 = 4 +b
7 = b . . . . . subtract 4
The slope is 4; the y-intercept is 7.
