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mart [117]
3 years ago
5

What is the slope of the line represented by the equation y = x - 3?

Mathematics
2 answers:
LenaWriter [7]3 years ago
7 0

Answer:

The slope of the line is: 1

The y-intercept is: -3

You can graph the line using the slope and y-intercept, or two points.

Zigmanuir [339]3 years ago
3 0

Answer:

1.

Step-by-step explanation:

The general form of a line is y = mx + c   where m = the slope.

y = x - 3

or we can write it as y = 1x - 3

- so the slope is 1.

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15 points!!! GEOMETRY help please!!<br> Questions attached!
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3. Look at the picture.

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Answer:\ \boxed{47^o}

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Look at the picture.

Use Pythagorean theorem:

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5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
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k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1

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-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}

So. We have the answer! :)

Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}

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