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melamori03 [73]
2 years ago
5

Write an equation to represent the relationship shown in the graph. Use the graph below

Mathematics
1 answer:
Lostsunrise [7]2 years ago
6 0

Answer:

y=x+3

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

First, we could determine the slope (<em>m</em>). The slope is the \displaystyle\frac{rise}{run} of the line, or the number of units it travels up over the number of units it travels to the right.

Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:

y=1x+b\\y=x+b

Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.

The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:

y=x+3

I hope this helps!

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Drag the tiles to the boxes to form correct pairs.
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1 .4x2-9= 2x+3,2x-3

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Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

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4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
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