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10 votes
10 votes
What's the equation.

A. y=2/9x
B. y=1/10x
C. y=9/2x
D. y=7.5x

What's the equation. A. y=2/9x B. y=1/10x C. y=9/2x D. y=7.5x-example-1
User Prakash Panjwani
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2.6k points

2 Answers

19 votes
19 votes

Answer:

Explanation:

(4, 30) (8, 60)

(60-30)/(8-4) = 30/4= 15/2 or 7.5

y - 30 = 7.5(x - 4)

y - 30 = 7.5x - 30

y = 7.5x

answer is D

User KeshavDulal
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3.2k points
24 votes
24 votes
Hello there! Your answer is D, or y = 7.5x.

To find the slope, we abide by the formula:

m = rise/run

With this in mind, we can find the first complete point, which is (4,30). The rise, or y-value, is 30, and the run, or x-value, is 4. Therefore, the fraction of our slope is 30/4x.

However, we cannot end it here. 30/4 can be reduced by 2 to result in 15/2. We know that 15 divided by 2 gives us 7.5, because 14 divided by 2 gives us 7 and 16 divided by 2 gives us 8. That lets us know that when dividing 15 by another number, our slope is between 7 and 8.

Because 15/2 = 7.5 (or 7 1/2), our slope is:

y = 7.5x

Your answer is D.

Hope this helps!
User Dekauliya
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2.5k points