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Inessa05 [86]
3 years ago
12

How to calculate slope for a line that goes through

Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

The slope is m=-\frac{3}{2}

Step-by-step explanation:

The slope point equation is given by:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here:

The first point is (x1,y1)=(5,-3)

The first point is (x2,y2)=(-1,6)

Then, the slope will be:

m=\frac{6-(-3)}{-1-5}

m=\frac{9}{-6}

m=-\frac{3}{2}

 

I hope it helps you!

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Check the picture below.

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now, the vertex is half-way between those two guys, at a "p" distance from either one, if we move over the y-axis from -5 to +2, we have 7 units, half-way is 3.5 units, and that puts us at -1.5 or -1½, as you see in the picture, so the vertex is then at (-3 , -1½).

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\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{using this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

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Answer:

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