What would be the point-slope equation of a line that passes through the point (-3,-5) and has a slope of -2?

y=-2x-11

Step-by-step explanation: y-y1=m(x-x1). Subsitute in the Variables

y-(-5)=(-2)(x-(-3)) Distribute and remove parentheses

y+5=-2x-6. Subtract 5 from both sides

y=-2x-11  Answer in Slope-Intercept Form

  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).