Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS that is parallel to segment UV. You must show all work to receive credit. Triangles QRS and TUV are shown. Q is at negative 2, 1. R is at negative 2, 7. S is at negative 8, 1. T is at 4, 2. U is at 4, 5. V is at 1, 2.

Given:

Triangle QRS is similar to triangle TUV.

Vertices of triangles are Q(-2,1), R(-2,7), S(-8,1), T(4,2), U(4,5), V(1,2).

To find:

The equation, in slope-intercept form, of the side of triangle QRS that is parallel to segment UV.

Solution:

Plot the points on the coordinate plane and connect the points to form triangles are shown below.

From the figure it is clear that, RS is parallel to UV.

Equation of RS is

Add 7 on both sides.

Therefore, the required equation is .

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