If the point (a b) is in the fourth quadrant in what quadrant is (-a,-b)

There are four quadrants in a coordinate plane

Point (-a,-b) is in the second quadrant

The given parameter is:

When a point is rotated by 180 degrees, the coordinates of the point get negated.

i.e. the rule of 180 degrees rotation is:

Substitute a and b for x and y

This means that: (-a,-b) is (a,b) rotated by 180 degrees

The second quadrant is 180 degrees from the fourth quadrant.

Hence, point (-a,-b) is in the second quadrant

Read more about quadrants at:

link

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Explanation:

"if the point (a, b) is in the fourth quadrant" then the point could be something like (6, -5) which is one of infinitely many examples. So we see that a = 6 and b = -5. Any point in quadrant 4 has a positive x coordinate and negative y coordinate.

Since (a,b) = (6,-5), this means (-a, -b) = (-6, -(-5)) = (-6, 5) which is in quadrant 2. Any point in quadrant 2 has a negative x coordinate and positive y coordinate.

The quadrant diagram is shown below, as well as the points mentioned.

Side note: The rule represents a rotation of 180 degrees around the origin.

60

step-by-step explanation:

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew