webassign

1-Find the slope-intercept form of the line which passes through the given points. (Let y be the dependent variable and let x be the independent variable.) P(4, −16), Q(6, −22) 2-Find the slope-intercept form of the line which passes through the given points. (Let y be the dependent variable and let x be the independent variable.) P(−3, 2), Q(1, −11) 3-Compute the average rate of change of the given function over the specified interval. f(x) = x, [81, 100] 4-Compute the average rate of change of the given function over the specified interval. f(x) = x + 2/x − 4, [6, 8] 5-Recall from Intermediate Algebra that parallel lines have the same slope. (Please note that two vertical lines are also parallel to one another even though they have an undefined slope.) Below, you are given a line and a point which is not on that line. Find the line parallel to the given line which passes through the given point. y = −3x + 4, P(4, 3) 6-Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slopes. That is to say, if one line has slope m1 and the other has slope m2 then m1 · m2 = −1. Please note that a horizontal line is perpendicular to a vertical line and vice versa, so we assume m1 ≠0 and m2 ≠0. Below, you are given a line and a point which is not on that line. Find the line perpendicular to the given line which passes through the given point. y = −8x + 6, P(3, 1) 7- Question Part Points Submissions Used The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by h(t) = −16t2 + 96t, 0 ≤ t ≤ 6. Find the average rate of change of h over the interval [3, 6]. [the answer] feet per second Interpret your result. During the last three seconds of the objects’s time in the air, it is at an average rate of [ the answer] feet per second.