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Alexus [3.1K]
3 years ago
11

Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.

Mathematics
1 answer:
arsen [322]3 years ago
8 0
The point-slope form is
y - y1 = m(x - x1)

Given (3, -2) and m = 4, so
y - (-2) = 4(x - 3)
y + 2 = 4x - 12
y = 4x - 12 - 2
y = 4x - 14

That is now the line equation.



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Is perpendicular to ? Explain.
olga2289 [7]
Two lines are perpendicular if and only if the product of their slopes is - 1.

So, you just need to find the slope of each line and find out the product of their slopes.

I will do one example for you.

L1: y = 3x + 5

L2: y = - 3x + 14

L3: y = -x/3 + 14

The slope of a line is the coefficient of the x.

So the slopes are:

L1: slope 3
L2: slope -3
L3: slope -1/3

So now multiply the slopes of each pair of lines:

L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular

L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular

L1 and L3: (3) *  (-1/3) = -1 => Yes, they are penpendicular.
6 0
3 years ago
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xz_007 [3.2K]
\frac{3}{4} , \frac{8}{13} is \frac{39}{32}

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3 0
3 years ago
How many times larger than 2x10^2 is 2x10^8
Art [367]

1000000 times larger

Step-by-step explanation:

2x10^2 is 200.

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4 0
2 years ago
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slamgirl [31]
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4 0
3 years ago
∜64= 4ˣ, what is the value of x?
svlad2 [7]

Answer:

x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z

Step-by-step explanation:

Solve for x:

2 sqrt(2) = 4^x

Hint: | Reverse the equality in 2 sqrt(2) = 4^x in order to isolate x to the left hand side.

2 sqrt(2) = 4^x is equivalent to 4^x = 2 sqrt(2):

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Hint: | Eliminate the exponential from the left hand side.

Take the logarithm base 4 of both sides:

Answer:x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z

8 0
3 years ago
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