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In its most recent game, the north high school girls basketball team scored 72 p

ID: 3170039 • Letter: I

Question

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? 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?

Explanation / Answer

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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