2 years ago

What equation do I write for a line that has a y intercept of 2 and is perpendicular to y=2/3x+4?

Mathematics

1 answer:

ser-zykov [4K]2 years ago

5 0

Answer:

y = -3/2x + 2

Step-by-step explanation:

The equation has the format y = mx + b where m is the slope and b is the y-intercept.

The question gives you the y-intercept, so b = 2.

As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.

The slope of the line given in the question is 2/3. The opposite reciprocal of 2/3 is - 3/2.

The equation for the line is y = -3/2x + 2

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