Question

line p contains points A(-7,-9) and B(4,0) line q is parallel to line p line r is perpendicular to line q what is the slope of line r

Answer 1

The slope of line r is -11/9.

Step-by-step explanation:

The slope of a line can be found using the formula: slope = (y2 - y1) / (x2 - x1). In this case, we have two points A(-7, -9) and B(4, 0) on line p. We can calculate the slope of line p using the formula: slope_p = (0 - (-9)) / (4 - (-7)) = 9/11. Since line q is parallel to line p, it will have the same slope: slope_q = 9/11. Since line r is perpendicular to line q, the slope of line r will be the negative reciprocal of the slope of line q. Therefore, the slope of line r is: slope_r = -1 * (1 / (9/11)) = -11/9.

Answer 2

Use the slope formula (y2-y1)/(x2-x1)
(0+9)/(4+7)=9/11
Since q is parallel to r the slope will be the same. 9/11 is the slope of line r