Question

The equation that I typed in is right.

What are the coordinates? Please show all work on how you got your answer.

Answer 1

The answer to your question is

Explanation:

Data

Point (2, 3)

line y - 4 = -2(x + 3)

Process

1.- Solve for y the line given

y - 4 = -2(x + 3)

y - 4 = -2x - 6

y = -2x - 6 + 4

y = -2x - 2

2.- Get the slope of the new line

slope = 1/2

3.- Get the equation of the new line

y - y1 = m(x - x1)

y - 3 = 1/2(x - 2)

y - 3 = 1/2x - 1

y = 1/2x - 1 + 3

y = 1/2x + 2

4.- Get the coordinates of the new line

When x = 0

y = 1/2(0) + 2

y = 2 P (0, 2)

When y = 0

0 = 1/2x + 2

1/2x = -2

x = -4 Q (-4, 0)

5.- Get the coordinates of the previous line

y = -2x - 2

When x = 0

y = -2(0) -2

y = -2 R (0, -2)

When y = 0

0 = -2x - 2

-2x = 2

x = 2/-2

x = -1 S (-1, 0)