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Oxana [17]
3 years ago
8

Choose the graph that represents the linear equation y = 2x + 1

Mathematics
1 answer:
amid [387]3 years ago
8 0

Answer:

The third option is the answer.

Step-by-step explanation:

In the formula <em>y = mx + b</em>, using the equation given,

  • <em>m = 2</em>, which means that the line goes up <em>2 units and right 1 unit</em>.
  • <em>b = 1</em>, which means that the <em>y-intercept</em>, or where the line touches the y-axis, is <em>1</em>.
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Point M is located at (4,6) on a coordinate grid. Point M is translated 8 units to thr left and 9 units down to create point M'.
nata0808 [166]
Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!

We have the point 4,6. 4 is the x, and 6 is the y.

Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.

Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.

So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!

The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²

Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.

So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.

So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²

Solving it out, we first need to work within the parenthesis. Can you solve it?

Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²

8²= 64
9²= 81

64+81 = 145.

So, the distance between point M and point M' would be 145 units

Hope this helps!

If it does not, please let me know so i can try to help!

4 0
3 years ago
How many years will it take James to recover his investment?
My name is Ann [436]
I don’t think anyone knows this one not even James
6 0
3 years ago
The nurse must give a patient 9 milligrams of a medication. If the tables are 2 milligrams each, how many tablets are needed?
Advocard [28]

Answer:

4.5 tablets.

Step-by-step explanation:

We just divide 9 by 2.

8 0
2 years ago
How can you solve y=-2x+2
Svetlanka [38]

Answer:

It is already solved!

Step-by-step explanation:

It is meant to be in y = mx + b form where x is the slope and b is is the y-intercept.

7 0
4 years ago
Read 2 more answers
In horse​ racing, a trifecta is a bet that the first three finishers in a race are​ selected, and they are selected in the corre
eduard

Answer:

its a combination

Step-by-step explanation:

because three horses is a combination of horses

7 0
3 years ago
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