27 August, 21:48
Are the lines y=-x-2 and 4x+4y=16 perpendicular? Explain
A. Yes; their slopes have product - 1
B. No; their slopes are not opposite reciprocals
C. yes; their slopes are equal
D. No; their slopes are not equal
27 August, 23:39
First rearrange the second equation into the form y = mx + b (where m = slopeof the graph of the equation) : -
4x + 4y = 16
4y = - 4x + 16
y = - x + 4
now compare the slope with
y = x - 2
slope of the first one is - 1 and slope of the second is 1
slopes have product of 18-1 = - 1 so the 2 lines are pependicukar
A is correct
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» Are the lines y=-x-2 and 4x+4y=16 perpendicular? Explain A. Yes; their slopes have product - 1 B. No; their slopes are not opposite reciprocals C. yes; their slopes are equal D. No; their slopes are not equal