Write an equation in slope intercept form that goes through the point (0,-2) and has a slope of 3

Mathematics

2 answers:

andrezito [222]3 years ago

7 0

Slope intercept form is in the form of y=mx+b, where m is the slope and b is the y-intercept.

The slope is given, which is 3.

The y-intercept is the value of y when x is 0. In the point (0,-2), x=0 and y=-2; thus, the y-intercept is -2.

Substituting m=3 and b= -2 into the slope-intercept equation gives us:

y = 3x - 2

That's your answer. Let me know if you need any clarifications.

Happy Studying~!

elixir [45]3 years ago

4 0

Answer:

y= 3x -2

Step-by-step explanation:

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Air pressure may be represented as a function of height (in meters) above the

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Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$