Question

Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7.

The slope of line p is
✔ 1/2
.
The equation of line p is y = 1/2x +
.

Answer 1

The  slope of line p is 1/2   and the equation of line p is y = 1/2x + 12

Equation of a perpendicular lines

Given the line perpendicular to the line 2x + y = -7, the slope of the line p will be:

• Slope = -1/M

M is the slope of the given line

2x + y =-7

y = -2x-7

Mx = -2x

M = -2

Slope of line p = 1/2

The equation in point slope form is y-y1 = m(x-x1)

y + 6 = 1/2(x-8)

2(y+6) = x- 8

2y + 16 = x - 8

2y = x - 24

y =1/2x - 12

Hence the  slope of line p is 1/2   and the equation of line p is y = 1/2x + 12

Learn more on equation of a line here: https://brainly.com/question/24874932