Question

In its most recent game, the north high school girls basketball team scored 72 point not...

In its most recent game, the north high school girls basketball team scored 72 point not including file shots. A sports writer wonders how many three-pointers and how many to pointers could have been made. Let X represent the number of two point goals and why the number of three point goals. What is an equation for the line? What is the X intercept? What is the meaning of the X intercept? What is the Y intercept? What is the meaning of the Y intercept? What is the slope? What is the meaning of the slope?
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Answer #1

What is an equation for the line?

total points scored = 72

Let X represent the number of two point goals and Y the number of three point goals.

so 2X + 3Y = 72

What is the X intercept?

x-intercept is value of x, where y = 0

so 2X = 72

X = 36

What is the meaning of the X intercept?

If no 3 pointers were scored, how many 2 pointers were scored in order to get to the score of 72.

and the x-intercept is 36.

What is the Y intercept?

3Y = 72

Y = 24

What is the meaning of the Y intercept?

If no 2 pointers were scored, how many 3 pointers were scored in order to get to the score of 72.

and the Y-intercept is 24.

What is the slope?

Slope = -coefficient of x/coefficient of y = -2/3

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