No, the lines y = -x - 4 and 5x + 5y = 20 are not perpendicular. To determine if two lines are perpendicular, we need to compare the slopes of the lines.
The slope of the first line y = -x - 4 is -1, and the slope of the second line 5x + 5y = 20 can be found by rearranging the equation into slope-intercept form (y = mx + b), where m is the slope:
5y = -5x + 20
y = -x + 4
Comparing the coefficients, we see that the slope of the second line is -1.
Since the slopes of both lines are -1 and are equal, not negative reciprocals of each other, the lines are not perpendicular.
Are the lines y=-x-4 and 5x+5y=20 perpendicular?.
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