Lines a and b are perpendicular. The equation of line a is y=1/3x+3. What is the equation of line b

perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4

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facundo3141592 facundo3141592 · Answer 2 · 2022-05-19T10:40:18+02:00

The equation of the perpendicular line is:

y = -3x + 3

How to find the equation of line b?

We know that the slope of line a is 1/3, and line b is perpendicular, so the slope of line b must be the opposite of the inverse of the slope of line a.

s = -(3)

The slope of line b is -3, so we have something of the form:

y = -3*x + b

To find the value of b, we can use the graph, there we can see that the line passes through (0, 3), so the y-intercept is 3.

Then we conclude that the line b is:

y = -3x + 3

If you want to learn more about perpendicular lines.

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