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Archy [21]
2 years ago
11

Find the equation of the line shown. y 4 3 2 1 Х -2 -3 4​

Mathematics
1 answer:
MakcuM [25]2 years ago
8 0

Answer:

y = 1/2x + 0.5

or

y = 1/2x + 1/2

Step-by-step explanation:

y = mx + b

b is y-intercept:

when x = 0, y = 0.5 (when the line cross the vertical (y) axis of the graph)

the point is (0, 0.5) so b = 0.5

m is slope:

slope = rise / run

rise = 1

run = 2

for every 2 x values, y increase by 1

slope (m) = 1/2

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Your answer to your question should be B if not then i dont know 
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dsp73
All linear functions have in common...
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7 0
3 years ago
What is the average rate of change from x = −3 to x = −4?
Vika [28.1K]

Answer:

-2

Step-by-step explanation:

Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue.  We have the work form of a positive upwards-opening parabola as

y=a(x-h)^2+k

where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex.  We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1).  Now we will fill in the work form equation and solve for a:

-1=a(-2-(-3))^2-3

which simplifies a bit to

-1=a(1)^2-3

and

-1 = a(1) - 3.  Therefore, a = 2 and our parabola is

y=2(x+3)^2-3

Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4.  Do this by subbing in the values of x one at a time to find y.  When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3).  When x = -4, y = -1 so the coordinate of that point is (-4, -1).  The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:

m=\frac{-1-(-3)}{-4-(-3)} =\frac{2}{-1}=-2

And there you have it!  I'm very surprised that this question sat unanswered for so very long!  I'm sorry I didn't see it earlier!

5 0
3 years ago
Solve for Y<br> -2x + Y = 3<br><br> I need it broken down in steps
MA_775_DIABLO [31]
Step 1: set up equation 
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Step 2: add 2x to both sides
-2x+y=3
+2x     +2x
<u>
y=3+2x</u>


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