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serious [3.7K]
3 years ago
9

What is an equation of the line that passes through the points (4, -2) and (8,3)?

Mathematics
1 answer:
Dimas [21]3 years ago
4 0
Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator

m=-2-3/4-8
-5/-4
m=5/4

Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)

3=5/4(8)+b
3=10+b
-7=b

Equation: y=5/4x-7
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What is the answer to this?
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8\sqrt{2}

Step-by-step explanation:

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3 years ago
What is f(x) = 7x2 42x written in vertex form? f(x) = 7(x 6)2 – 6 f(x) = 7(x 6)2 – 42 f(x) = 7(x 3)2 – 9 f(x) = 7(x 3)2 – 63.
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The vertex form of the function f(x) is \rm f(x)= 7 ( x + 3 )^2 - 63.

<h2>Given </h2>

Function; \rm f(x) = 7x^2 + 42x

<h3>What is the vertex form of function?</h3>

The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.

The standard equation which represents the vertex form of the function is;

\rm f(x) =(x-h)^2+k^2

Where h and k are vertexes of the given parabola.

The function is in vertex form;

\rm f(x)= 7 x^2 + 42 x\\\\ f(x) = 7 ( x^2+ 6 x ) \\\\ f(x)= 7 ( ( x^2+ 6 x + 9 ) - 9 ) \\\\ f(x)= 7 ( x + 3 )^2 - 63

Hence, the vertex form of the function f(x) is \rm f(x)= 7 ( x + 3 )^2 - 63.

To know more about the Vertex form lick the link given below.

brainly.com/question/9070346

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Read 2 more answers
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