Question

Triangle QRS is similar to triangle TUV. Write the equation, in slope-Intercept form of the side of triangle ORS that is parallel to UV. You must show all work to receive credit:

Answer 1

The equation in slope-intercept form for the side of triangle QRS that is parallel to UV is: y = x + 9

What is Slope-intercept Form of a Line?

Slope-inetrcept form of the equation of a line is given as, y = mx + b, where m is the slope of the line and b is the y-intercept of the line.

The side of triangle QRS that is parallel to UV is RS.

Slope of RS = RQ/QS = 6 units/6 units = 1

To find b, substitute R(-2, 7) = (x, y) and m = 1 into y = mx + b

7 = 1(-2) + b

7 = -2 + b

7 + 2 = b

b = 9

To write the equation for line RS, substitute m = 1 and b = 9 into y = mx + b

y = 1(x) + 9

y = x + 9

Thus, the equation in slope-intercept form for the side of triangle QRS that is parallel to UV is: y = x + 9

Learn more about the slope-intercept form on:

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