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scoundrel [369]
2 years ago
10

Which expression could represent a rational number? A. -b B. a + b C. ab D. b^2

Mathematics
1 answer:
leva [86]2 years ago
4 0

The answer for the following question is A) -b

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Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4<br>y=​
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Correct answer: y = \frac{1}{3}x + 2

To find out the slope, you would need to remember this slope formula: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as x_{1} and y_{1}, and (0, 2) as x_{2} and y_{2}. Now we can plug these numbers into the slope formula to find out the slope:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} → \frac{2-3}{0-3} → \frac{-1}{-3} → \frac{1}{3}

To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.

y = mx + b

(3) = \frac{1}{3}(3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = \frac{1}{3} and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = \frac{1}{3}x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

3 0
3 years ago
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