The equation in slope-intercept form for the side of triangle QRS that is parallel to UV is: y = x + 9
<h3>What is Slope-intercept Form of a Line?</h3>
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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