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Rina8888 [55]
1 year ago
13

Write the slope intercept form of the equation of the line that passes through the point (4, 8) and has a slope of -2.

Mathematics
1 answer:
zhuklara [117]1 year ago
8 0

The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through the point (4, 8) and has a slope of -2.

On comparing the standard equation:

y = mx + c

Here m is the slope of the line and c is the y-intercept.

m = -2

y = -2x + c

Plug x = 4 and y = 8

8 = -2(4) + c

c = 16

y = -2x + 16

Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

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Your answer is B. x= -1
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Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.
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25.64 in^2

Explanation:

<span><span>60360</span>⋅π<span>r2</span></span>, where <span>r=7</span>

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3 years ago
(a) A lamp has two bulbs, each of a type with average lifetime 1400 hours. Assuming that we can model the probability of failure
Temka [501]

Answer:

For first lamp ; The resultant probability is 0.703

For both lamps; The resultant probability is 0.3614

Step-by-step explanation:

Let X be the lifetime hours of two bulbs

X∼exp(1/1400)

f(x)=1/1400e−1/1400x

P(X<x)=1−e−1/1400x

X∼exp⁡(1/1400)

f(x)=1/1400 e−1/1400x

P(X<x)=1−e−1/1400x

The probability that both of the lamp bulbs fail within 1700 hours is calculated below,

P(X≤1700)=1−e−1/1400×1700

=1−e−1.21=0.703

The resultant probability is 0.703

Let Y be a lifetime of another lamp two bulbs

Then the Z = X + Y will follow gamma distribution that is,

X+Y=Z∼gamma(2,1/1400)

2λZ∼

X+Y=Z∼gamma(2,1/1400)

2λZ∼χ2α2

The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,

P(Z≤1700)=P(1/700Z≤1.67)=

P(χ24≤1.67)=0.3614

The resultant probability is 0.3614

8 0
2 years ago
Which of the following proportions could be used to find x?
OLga [1]

\frac{x}{2} = \frac{6}{1.5}

The 2 right triangles are similar and so the ratios of corresponding sides are equal

The corresponding sides are x and 2, 6 and 1.5, hence

\frac{x}{2} = \frac{6}{1.5}


5 0
3 years ago
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