Find the slope and y-intercept of the line that is parallel to y=3x-3 and passes through the point (-2,7)

A line that is parallel to that line and hits (-2, 7) is y = 3x + 13.

The first thing we have to note is that it will have the same slope. Since the coefficient of x is 3, we know the slope is also 3. This means the new line will have that slope (this is the definition of parallel lines).

Now we can use slope intercept form, the slope and a point to find the y intercept (b).

y = mx + b

7 = 3(-2) + b

7 = -6 + b

13 = b

Now we use the slope we found (3) and the intercept (13) and place them in the final equation.

y = 3x + 13

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

y=mx+b is the final answer!   : )