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kodGreya [7K]
3 years ago
14

What is the slope of the line represented by the equation y = –x + ?

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0

The equation is in slope-intercept form: y = mx + b where m equals slope and b equals the y intercept.

From the equation given, we can see that the slope is negative. cf. "-x"

The variable "x" is equal to one, so the slope is -1.

If you're wondering what the "b" or "y-intercept" is, then it is 0.

Elden [556K]3 years ago
5 0
The slope is -1 The slope is the number in front of x
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Find the distance between the origin and the points (-8,4)​
Papessa [141]

Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.

First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, <u>so we move 8 x units.</u>

Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, <u>so we move 4 y units.</u>

Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.

Let's say x distance is a, and y distance is b. Now, apply the values:

8²+4²=c²

64+16=c²

80=c²

Now, we need to find the value of c, so we need to find the square root of 80.

√80=c

8.9442...=c

Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.

<u>To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.</u>

I hope this was helpful, keep learning! :D

8 0
2 years ago
Through: (-5, -5), slope=2/5
kakasveta [241]

For this case we have that by definition, the equation of a line in the slope-intersection form is:

y = mx + b

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: m = \frac {2} {5}

Thus, the equation is of the form:

y = \frac {2} {5} x + b

We substitute the given point and find "b":

-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3

Finally, the equation is:

y = \frac {2} {5} x-3

Answer:

y = \frac {2} {5} x-3

4 0
3 years ago
______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
myrzilka [38]

\huge \bf༆ Answer ༄

The Correct choice is B. Vertical

<u>V</u><u>ertical</u> Angles have each of the pairs of opposite angles made by two intersecting lines .

8 0
2 years ago
Read 2 more answers
Marquis has 7 cups of yogurt. He gives his sister 3 3
Varvara68 [4.7K]

Answer:

He has 3,65 cups of yogurt left.

Step-by-step explanation:

7 - 3,35 = 3,65

6 0
2 years ago
The volume of this cone is 36 cubic units. What is the volume of a cylinder that has the same base area and the same height?
goldenfox [79]

Answer: 108pi

Step-by-step explanation:

36pi times 3

this is correct btw

7 0
2 years ago
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