Answer:
y = (1/2)x - 10
Step-by-step explanation:
First we determine the slope of new line p. This slope is the negative reciprocal of the given line 2x + y = -7. Solving 2x + y = -7 for y is the easiest way in which to determine the slope of this line. y = -2x - 7 has the slope -2.
The negative reciprocal of this slope -2 is +1/2.
Given that line p passes through (8, -6) and that the slope of p is 1/2, we can easily solve for the y-intercept, b, of p:
Starting with y = mx + b, we get -6 = (1/2)(8) + b, or -6 = 4 + b.
Then b = -10, and the equation of line p is y = (1/2)x - 10.
