What is the equation for the ordered pairs (-2,3) and (-1,0)

1 answer:

8 0

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-3}{-1-(-2)}\implies \cfrac{-3}{-1+2}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=-3[x-(-2)] \\\\\\ y-3=-3(x+2)\implies y-3=-3x-6\implies y=-3x-3$

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A salesman who makes $32,500 a year gets promoted to sales manager, earning a new salary of $43,250. What was the rate of increa

OLEGan [10]

Answer:

33.1%

Step-by-step explanation:

First, calculate the dollar amount of the increase. Subtract $32,500 from $43,250. We get $10,750.

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3 years ago

Help with this question please?

tatuchka [14]

Answer:

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Step-by-step explanation:

You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).

Here, the unit circle

x^2 +y^2 = 1

is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and y with (y/3) in the above equation to get ...

(x/5)^2 +(y/3)^2 = 1

Traditionally, the denominator is written as a number, not a square, so the equation would be ...

x^2/25 +y^2/9 = 1