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s344n2d4d5 [400]
3 years ago
10

What is the equation of the line that passes through the point ( − 3 , 1 )and has a slope of 2/3

Mathematics
1 answer:
andrezito [222]3 years ago
3 0

Answer: y = 2/3x + 3

Step-by-step explanation:

We will write the equation in slope intercept form (y=mx+b).

In the formula y=mx + b,  m is the slope and b is the y intercept. We need the slope and y intercept numbers to write the equation. Since we know the slope we will use the given point to find the y intercept by plotting in the x and y coordinates into the formula.

1 = 2/3(-3) + b       Solve for b

1= -6/3 + b

1 = -2 + b  

+2   +2

b = 3  

The equation will be   y = 2/3x + 3

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RideAnS [48]

Answer:

I think (A is the answer

Step-by-step explanation:

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3 years ago
Which is the graph of f (x) = 4 (1/2) Superscript x?
miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

f(x)=4(\frac{1}{2})^x

Now, the above function is an exponential function of the form f(x)=ka^x

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

f(0)=4(\frac{1}{2})^0=4

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0

So, as

x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty

Now, from among all the options, only option (2) fulfills all the conditions given above.

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5 0
3 years ago
Find the value of x that will make a||b help ?
nydimaria [60]

Answer:

x=30

Step-by-step explanation:

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4 0
3 years ago
Find the product 0 . 67 × 0 .3
quester [9]
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=201/1000
=0.201
8 0
3 years ago
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