Please help me.

What is the equation of the line?

Step-by-step explanation:

Point-slope form is . The , , and have to be substituted for with real values in order to make an equation of a line. From there, you can isolate to turn it into slope-intercept form.

1) First, let's find the slope of the line, which is represented by the variable . Use the slope formula, , to find the slope. and are the x and y values of one point, and are the x and y values of another point. For this problem, let's use the given points (-3, -5) and (-6, 2):

Thus, the slope is .

2) Now that we have the slope, let's substitute it into the point-slope formula. The and represent the x and y values of a point that the line intersects so you could either use (-3, -5) or (-6,2), but for this answer, I used (-6,2). (The answer will always be the same no matter which point you choose.) Substitute these values then isolate y to put it in slope-intercept form:

So, is the answer.

  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).

step-by-step explanation:

in which figure is point g a centroid