20 points. Find the equation of the line: which passes through (1,-7) and is perpendicular to (-4,6) and (5,-3)

Step-by-step explanation:

Slope of line between points (-4, 6) and (5, -3)

=> Rise / Run

=> [6 - (-3)] / [(-4) - 5]

= 9 / (-9)

= -1.

Thus slope of perpendicular line

= -1 / (-1) = 1.

We have y = x + c.

When x = 1, y = -7.

=> (-7) = (1) + c, c = -8.

Hence y = x - 8.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b