Question

Given E(-6, y), F(6, 5), G(14, 11), and
H(8, -13), find the value of y so that
EF 1 GH.

Answer 1

To find y so that EF is parallel to GH, we can use the slope formula and set the slopes of EF and GH equal to each other.

Step-by-step explanation:

In order for EF to be parallel to GH, the slope of EF should be equal to the slope of GH.

The slope of EF can be found using the formula:

m = (y2 - y1) / (x2 - x1)

Using the coordinates of E and F, we get:

m = (5 - y) / (6 - (-6))

The slope of GH can be found using the coordinates of G and H. Setting the slopes of EF and GH equal to each other, we can solve for y.

Learn more about slope formula