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3 years ago

A line passes through (-1, 5) and (3,-3). Write the equation of the line.

Mathematics

1 answer:

GREYUIT [131]3 years ago

5 0

Answer:

y=-4x-8

Step-by-step explanation:

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Marty and Ethan both wrote a function, but in different ways.

marishachu [46]

Question:

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

Answer:

Marty’s with a slope of 1/3 has the larger slope

Solution:

Given that Marty equation is:

$y + 3 = \frac{1}{3}(x+9)$

The point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

On comapring both equations,

$m = \frac{1}{3}$

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

The slope is given by formula:

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

From above two points,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)$

Therefore,

$m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2$

Thus we get,

$\text{Slope of Ethan} < \text{Slope of Marty}$

Therefore, Marty’s with a slope of 1/3 has the larger slope

4 0

3 years ago

Read 2 more answers

When multiplying and dividing two numbers in scientific notation, why do u sometimes have to rewrite one factor ?

zalisa [80]

You sometimes need to rewrite a factor because the lead number is not between 1 and 10 as it needs to be in scientific notation. For instance, if we had lead numbers of 2 and 5, as we do in the following problem.

2x10^3 * 5x10^9

Then we get the answer of 10x10^12. We need to adjust this by moving the decimal place and increasing the exponent by 1. The correct answer would be 1x10^13 instead.

5 0

3 years ago

Read 2 more answers

I wasnt paying attention

labwork [276]

a equals 16. You multiply both sides be -10 and then you add 6.

7 0

3 years ago

Read 2 more answers

Find the length of the hypotenuse in the following right triangle.

astra-53 [7]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 = 8^2 = 64

b^2 = 15^2 = 225

64 + 225 = 289

c^2 = 289

c = Square root of 278

c = 17

6 0

2 years ago

I NEED ANSWERS FAST Laura bought 8 3/10 yd of ribbon. She used 1 ⅖ yd to tie a package and 2 ⅓ yd to make a bow. Joe later gave

sergejj [24]

Answer:

9 1/6 yd

Step-by-step explanation:

First, list the lengths of ribbon Laura had or acquired:

8 3/10 yd + 4 3/5 yd. This is equivalent to 8 3/10 yd + 4 6/10 yd, or

12 9/10 yd.

Next, list the lengths of ribbon Laura used:

1 2/5 yd + 2 1/3 yd. The LCD here is 15, so we have 1 6/15 yd + 2 5/15 yd.

Summing up, we get 3 11/15 yd.

Subtract this length from the original 12 9/10 yard with which Laura began:

12 9/10 yd or 12 27/30 yd (LCD is 30)

- 3 11/15 yd or -3 22/30 yd

Subtracting the latter two quantities, we get 9 5/30 yd, or 9 1/6 yd

7 0

3 years ago