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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Use a diagram to name each of the following pairs of angles. If the name doesn't exist say none

nirvana33 [79]

Answer:

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Step-by-step explanation:

This is a vocabulary problem, identifying the names of things on a diagram.

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They are "vertical" if they share a vertex and have opposite rays for sides, and they are "corresponding" if they are in the same quadrant of the intersection of crossing lines. (1, 5, 9, 13 are "corresponding", for example.)