Question

!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT

Answer 1

Hi there!

$\large\boxed{2, -9}$

We can create an equation for the line PR using the given coordinates. Use the following formula for the slope:

$m = \frac{y_2-y_1}{x_2-x_1}$

Plug in the coordinates for P and R:

$m = \frac{-5-(-1)}{-1-(-4)} = -\frac{4}{3}$

Find the equation by using point-slope form:

y - y1 = m(x - x1)

Plug in a coordinate and the slope:

y - (-5) = -4/3(x - ( - 1))

Simplify:

y + 5 = -4/3(x + 1)

To find the y-coordinate if x = 2, plug in the x value:

y + 5 = -4/3(2 + 1)

y + 5 = -4/3(3)

y + 5 = -4

y = -9

Thus, the coordinate is (2, -9)