Identify an equation in slope-intercept form for the line perpendicular to y = –1/2x + 11 that passes through (4, –8).

y = 2x - 16

Step-by-step explanation:

perpendicular lines = have negative-reciprocal slope

slope: -1/2 => negative-reciprocal => 2                                               ↓ slope

substitute (4, -8) and the slope 2 into the slope-intercept form(y = mx + b) to find b:

=> -8 = 2(4) + b => b = -16

plug in the slope 2 and b = -16 to the slope-intercept form:

y = 2x - 16

neither i nor ii 56 / 4.9 = 11.91489362 and 82 / (11+5) =5.125 so i is wrong

ii. (24/8+2) times 3 = 15 and (42+9)/2 =25.5

step-by-step explanation:

56

  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).