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3 years ago

What is the equation of the line in slope-intercept form?

Mathematics

2 answers:

77julia77 [94]3 years ago

7 0

ANSWER

The equation of the line in slope-intercept form is

$y = \frac{3}{5} x + 3$

EXPLANATION

The slope intercept form of a line is given by
$y = mx + c$
Where $m$ is the slope and $c$
is the y-intercept.

We can read any two points from the graph and use it to determine the slope of the line.

For instance, the graph passes through the points
$(-5,0)$ and $(0,3)$

The slope can be found using the formula,

$m= \frac{y_2-y_1}{x_2-x_1}$

This implies that,

$m = \frac{ 3 - 0}{0 - - 5}$

$m = \frac{ 3 - 0}{0 + 5}$

$m = \frac{ 3 }{ 5}$

Also the y-intercept is

$(0,3)$

Therefore $c = 3$

We substitute all these values in to the above equation to obtain,

$y = \frac{3}{5} x + 3$

olasank [31]3 years ago

5 0

The equation of the line that passes through the points is y=3/5x+3

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vivado [14]

Hi there!

Here's the important information we know:

10 lbs of crawfish → 24 oz of seasoning

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24 ÷ 10 = X oz of seasoning

2.4 = X oz of seasoning

Answer a) : This means that 1 lb of crawfish requires 2.4 oz of seasoning.

b) We now know that for 1 lb of crawfish you need 2.4 oz of seasoning, so in order to know how much seasoning you need for 30 lbs of crawfish, you need to multiply 2.4 by 30 :

2.4 × 30 = 72

Answer b): You would need 72 oz of seasoning for 30 lbs of crawfish.

c) We know that for 1 lb of crawfish you need 2.4 oz of seasoning, so in order to know the maximum number of pounds of crawfish that can be cooked with 36 oz of seasoning, you need to divide 36 by 2.4 :

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6 0

3 years ago

Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 75 and a standard deviation o

Shalnov [3]

Answer:

a) 0.975

b) 0.16

c) 0.475

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 75

Standard deviation = 5

We also have that since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above.

a. The relative frequency of rates less than 85 using the 68-95-99.7 rule is

85 is two standard deviations above the mean.

So all the 50% below the mean is below 85

And of the 50% above the mean, 95% is less than 85. So

0.5 + 0.95*0.5 = 0.975

b. The relative frequency of rates greater than 80 using the 68-95-99.7 rule is

80 is one standard deviations above the mean.

Of the 50% above the mean, 68% is less than 80. So 100-68 = 32% is more than 80.

0.32*0.5 = 0.16.

c. The relative frequency of rates between 65 and 75 using the 68-95-99.7 rule is

Within the mean and two standard deviations below the mean.

So 95% of 50%

0.95*0.5 = 0.475

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4 years ago

14 pies eaten in 2 minutes what the rate

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Rate : every minute 7 pies are eaten 7:1

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4 years ago

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photoshop1234 [79]

The distance between A and B is 4/3. The formula for finding the distance is y2-y1/x2-x1.

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3 years ago

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the interest earned on an account varies directly with the balance in the account. if an account with a balance of $200 earns $1

liq [111]

Answer:

$\$31.25$

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

y-------> the interest earned on an account

x------> the balance in the account

step 1

Find the constant k of proportionality

For $x=\$200,y=\$12.50$

$k=y/x$

substitute the values

$k=12.50/200=0.0625$

The equation is

$y=0.0625x$

step 2

Find the amount of interest earned on an account with a balance of $500

For $x=\$500$ substitute in the equation and solve for y

$y=0.0625(500)=\$31.25$

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3 years ago