Question

A rectangle is graphed on the coordinate grid.

Which represents the equation of a side that is perpendicular to side r?
A. y = negative x + 5
B. y = negative x + 3
C. y = x minus 3
D. y = x + 3

Answer 1

To identify the equation representing a side perpendicular to side r, we compare slopes. If two lines are perpendicular, their slopes are negative reciprocals. For side r with slope 1, Equation D: y = x + 3, which has a slope of 1, is perpendicular. Thus, Equation D represents the side perpendicular to r.

Step-by-step explanation:

To determine which equation represents a side that is perpendicular to side r, we need to analyze the slopes of the given equations. If two lines are perpendicular, their slopes will be negative reciprocals of each other. Equation A: y = -x + 5. Equation B: y = -x + 3. Equation C: y = x - 3. Equation D: y = x + 3. By comparing the slopes of each equation to the slope of side r and noting that the equation with a slope that is the negative reciprocal of side r's slope is the one perpendicular to side r, we find that Equation D: y = x + 3 is the correct answer.