Write the equation of a line with slope 3 and y-intercept −3.

y = 3x - 3

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = 3 and c = - 3, hence equation is

y = 3x - 3

  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).

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.