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3 years ago

The trend line that Sylvie has drawn for her graph goes through the points (5, 0) and (4, 3). What is the equation of the line?

Mathematics

2 answers:

Andreas93 [3]3 years ago

3 0

Answer:

y=-3x+15

Step-by-step explanation:

To find the equation of the line, you need to find the slope and y intercept. The slope is pretty easy, as the line goes down by 3 after going up by 1. This means that the slope is -3/1=-3. The y intercept is also pretty easy, as you know that the line will increase by 3 every time you go back 1 to the left. 3*4=12, meaning that going back 4 will take you up 12. 3+12=15, meaning that the equation of the line is y=-3x+15. Hope this helps!

Anarel [89]3 years ago

3 0

Answer:

y=-3x+15

1. Slope = -6.000/2.000 = -3.000

2. x-intercept = -15/3 = -5

3.y-intercept = 15/1 = 15.00000

Slope=rise over run

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 15/1 so this line "cuts" the y axis at y=15.00000

y-intercept = 15/1 = 15.00000

Calculate the X-Intercept :

When y = 0 the value of x is -5/1 Our line therefore "cuts" the x axis at x=-5.00000

x-intercept = -15/3 = -5

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -15.000 and for x=2.000, the value of y is -21.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -21.000 - (-15.000) = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -6.000/2.000 = -3.000

Geometric figure: Straight Line

Slope = -6.000/2.000 = -3.000

x-intercept = -15/3 = -5

y-intercept = 15/1 = 15.00000

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Step-by-step explanation:

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3 years ago

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While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large to

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Answer:

157.6m

Step-by-step explanation:

Given

Horizontal distance = 181m

Length of the rope =240m

To know how high above Kayla was, we will use the Pythagoras theorem.

According to the theorem;

d² = x²+y²

x is the horizontal distance

y is the vertical distance

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3 years ago

Questions 23 and 29: Use the following information to answer each question. A recent book noted that only 20% of all investment

satela [25.4K]

Answer:

23. Calculate the P-value for this hypothesis test. Assume the requirements for the test are satisfied.

0.087

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3 years ago

Kalvin and 4 of his friends want to share 4 pounds of peanut butter equally. Write an expression to show what fraction of the pe

masya89 [10]

Answer:

Each friend should receive $\frac{4}{5}$ pounds, two equivalent fractions = $\frac{8}{10} \ pounds$ , $\frac{12}{15} \ pounds$

Step-by-step explanation:

Given:

Kalvin and 4 of his friends want to share 4 pounds of peanut butter equally.

Question asked:

Write an expression to show what fraction of the peanut butter each friend should receive. Then write 2 equivalent fractions for this amount.

Solution:

Kalvin and 4 of his friends that means there are total 5 persons:

By unitary method:

5 friends receive amount of peanut butter in pound = 4

1 friend receives amount of peanut butter in pound = $\frac{4}{5}$

Thus, each friend should receive $\frac{4}{5}$ pound of the peanut butter.

Now, we will find two equivalent fractions for this amount:-

Multiplying both numerator and denominator by 2

$\frac{4\times2}{5\times2} =\frac{8}{10}$

Multiplying both numerator and denominator by 3

$\frac{4\times3}{5\times3} =\frac{12}{15}$

Thus, two equivalent fractions for this amount are $\frac{8}{10} \ pounds$ , $\frac{12}{15} \ pounds$ .

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3 years ago

Researchers recorded that a group of bacteria grew from 30 to 900 in 18 hours. At this rate of growth, how many bacteria will th

Vadim26 [7]

Answer:

The will be 27000 bacteria in 36 hours from the start of the experiment

Step-by-step explanation:

In the first 18 hours:

The number of bacteria grew from 30 to 900.

So it grew by a factor of 900/30 = 30.

36 hours from the start of the experiment:

That is, the next 18 hours.

It will also grow by a factor of 30.

From 900 to 900*30 = 27000

The will be 27000 bacteria in 36 hours from the start of the experiment

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3 years ago