Question

Can someone pls help me with this?

Answer 1

Answer:

See below.

Step-by-step explanation:

slope of the dotted line: m = (-3 - 5)/(0 - 8) = 1

slope of second line (perpendicular to dotted line): -1

The bold line (second side) has slope -1 and passes through point (-4, 9).

y = mx + b

9 = -1(-4) + b

9 = 4 + b

b = 5

Equation of bold line: y = -x + 5

The third side of the rectangle is parallel to the dotted line and contains point (-4, 9). slope = 1

y = mx + b

9 = 1(-4) + b

9 = -4 + b

b = 13

Equation of third side: y = x + 13

The third side lies on a line that is parallel to the dotted line, so its slope is the same as the slope of the dotted line. The third side contains point (-4, 9). We use the equation y = mx + b and substitute -4 and 9 for x and y, respectively. Then we solve for b.