Question

What is the slope of a line perpendicular to the line whose equation is 3x+18y=1083x+18y=108.

Answer 1

The slope of a line perpendicular to the given equation of line is 6.

Explain the term slope of the line?

• A line's slope is how steeply it slopes from LEFT toward RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.
• No matter which two locations here on line you choose, the slope of this line will always be constant (it never varies).

For the stated question, the equation of the line is given as;

3x + 18y = 10

This can be written as;

y = -3/18 x  + 10/18

y = -1/6 x + 5/9

Comparing with general equation of line in slope intercept form.

y = mx + c

slope m = -1/6

The relation of slope for the two perpendicular lines are-

m x m1 = -1

m1 = -1/(-1/6)

m1 = 6

Thus, the slope of a line perpendicular to the given equation of line is 6.

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