Question

What is the slope of a line that is perpendicular to the line y = 8x + 5?

Answer 1

The slope of a line that is perpendicular to the line y = 8x + 5 will be -1/8.

What is the slope of perpendicular lines?

Suppose that first straight line has slope 's'

Let another straight line be perpendicular to this first line.

Let its slope be 'a'

Then due to them being perpendicular, they have their slopes' multiplication as -1

or

s x a = -1

s = -1/ a

Slope of line y = 8x + 5

s = 8

The slope of a line that is perpendicular to the line y = 8x + 5

8 x a = -1

a = -1/8

Thus, the slope is -1/8.

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