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OleMash [197]
2 years ago
7

Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3

Mathematics
1 answer:
AleksandrR [38]2 years ago
6 0

The equation in the slope-intercept form is:

y = (1/2)*x + 3

<h3>How to write the equation?</h3>

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)

Then the slope is:

a = \frac{4 - 3}{2 - 0} = 1/2

And we also can see that the y-intercept is y = 3, because of the point (0,3)

Then the line is:

y = (1/2)*x + 3

If you want to learn more about lines you can read:

brainly.com/question/1884491

#SPJ1

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Point x is at 2/3 on number line. On the same number line point y is the same distance from 0 as point x but has a numberator of
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Answer:  The answer is 12.

Step-by-step explanation: Given that a point 'x' is lying at \dfrac{2}{3} on the number line. Another point 'y' is also lying at the same distance from 0 but has a numerator of 8. We are to find the denominator of 'y'.

Since 'x' is lying at \dfrac{2}{3} on the number line so its distance from 0 will be

d_x=\dfrac{2}{3}-0=\dfrac{2}{3}.

Let the denominator of 'y' be p, then its distance from 0 will be

d_y=\dfrac{8}{p}-0=\dfrac{8}{p}.

According to the given information, we must have

d_x=d_y\\\\\\\Rightarrow \dfrac{2}{3}=\dfrac{8}{p}\\\\\\\Rightarrow p=\dfrac{8\times 3}{2}=12.

Thus, the denominator will be 12.

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3 years ago
There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter
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