Aline has a slope of -3 and a y intercept of 3. what is the x intercept

1

Step-by-step explanation: To solve this problem, let's graph the line.

It's important to understand that the y-intercept is the point where the line crosses the y-axis.

So if our line has a y-intercept of 3, it crosses the y-axis up 3 units. So we start this problem by plotting the point (0,3) which I labeled point A.

From there, our slope of -3 can be thought of as -3/1 so we go down 3 units and to the right 1 unit and plot point B. Notice that point B happens to lie on the x-axis at (1,0) and remember that the x-intercept is the point where the line crosses the x-axis. Since our line crosses the x-axis at the point (1,0), it has an x-intercept of 1.

If you're given a y-intercept and a slope like you are in this problem, you won't always be able to determine the x-intercept but things work out nicely here because point B happens to lie on the x-axis.

maybe - definition of supplementary angles. im not sure. sorry

step-by-step explanation:

  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).