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2 years ago

What is the slope of the line through the points (-3,3) and (6,-8)

Mathematics

1 answer:

STatiana [176]2 years ago

8 0

Answer:

$\displaystyle \frac{-11}{9}$

Step-by-step explanation:

We will use the equation of change in y over change in x to solve for the slope of the line. Then, we will simplify.

$\displaystyle \frac{y_{2}-y_1 }{x_2-x_1}$

$\displaystyle \frac{-8-3}{6--3}$

$\displaystyle \frac{-8-3}{6+3}$

$\displaystyle \frac{-11}{9}$

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Can anyone plz help me plz

slega [8]

The constant of proportionality is the slope of the line.

The slope is the change in y over the change in x

Using two pints on the line:

Slope = (3-0) / (1-0) = 3/1 = 3

The answer is 3

5 0

3 years ago

Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6

PilotLPTM [1.2K]

Answer:

a. $(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. $s=-\frac{37}{12}$

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of $6s$ and $5s$ " must be expressed as:

$6s-5s$

- Then, "Three more than the difference of $6s$ and $5s$ " is:

$(6s-5s)+3$

- "The difference of $\frac{1}{12}$ and $\frac{1}{6}$ " can be expressed in this form:

$\frac{1}{12}-\frac{1}{6}$

Therefore, "Three more than the difference of $6s$ and $5s$ is equal to the difference of $\frac{1}{12}$ and $\frac{1}{6}$ " is:

$(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. Solve for "s" in order to find its value:

$s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}$

8 0

3 years ago

6.52 or 6.520 which is greater

tatyana61 [14]

6.52 is equal to 6.520

3 0

3 years ago

Read 2 more answers

Please help I only have an hour.

Goshia [24]

Answer:

Slope (m) = $\frac{y}{x} = \frac{2}{3} = 0.66666666666667$

Step-by-step explanation:

$0 = arctan (\frac{y}{x}) = 33.69006752598°$

X = 4 – 1 = 3

Y = 4 – 2 = 2

$Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464$

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

$y=\frac{2}{3}x+\frac{4}{3}$

When x=0, y = 1.3333333333333

When y=0, x = -2

4 0

2 years ago

How do u round 14,494 to the nearest thousand

Reil [10]

Look at the digit one number place to the right of the thousands place, the hundreds. In this case it is another 4. Since it is less than 5, the thousands place will stay the same. If it were 5 or greater, the thousands place would go up by one number. 14,494 rounded to the nearest thousand is 14,000

7 0

3 years ago