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Sonja [21]
3 years ago
10

(X,3) , (5,9) slope=2

Mathematics
1 answer:
maxonik [38]3 years ago
5 0
Equation for slope.
y2 - y1/x2 - x1
Using (x,3) and (5,9)
9 - 3/5 - x = 2
6/(5 - x) = 2
Cross multiply
6 = 2(5 - x)
6 = 10 - 2x
6 - 10 = -2x
-4 = -2x
x = 2
y2 - y1/x2 - x1
9 - 3/5 - 2
6/3 = 2
Hope this helps.
:-)

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Answer:

The second:   \bold{f (x) =4(x+\frac34)^2-\frac{21}4}

Step-by-step explanation:

                            f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}

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