Line p contains the points (9,7) and (13,5). which equation represents a line perpendicular to line p?

y = 2x + 3

Step-by-step explanation:

As we go from (9,7) to (13,5), x increases by 4 and y decreases by 2.  Thus, the slope of line p is m = rise/run = -2/4, or m = -1/2.

A line perpendicular to p will have a slope that is the negative reciprocal of the slope of p:  -1 / {-1/2}, or m = 2.

One example of such a perpendicular line is y = 2x + 3.  Here I borrowed the slope m and invented the y-intercept, b.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

£56

step-by-step explanation: