# What is the equation of this line in slope intercept from?

The correct answer should be B: y = -3x + 2.

Since the line crosses the y axis at 2, your y-intercept should be 2. Using rise over run you can compare the equations to the graph. If you convert 3x to a fraction, it would be 3/1x. Since the line is going down 3 and the rise of the y = -3x + 2 is -3, that part is correct. The line also moves over 1 unit, so the run is 1, therefore the correct slope would be -3 or -3/1.  Now if you combine what you have it should be y = -3x - 2, which is the same equation as B.

## Related Questions

Given the age in years, t, of a water-transport pipe, the formula R = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. What is the meaning of the constant 17 in the function R ?A. Initially the pipe leaks at 4 gallons per year.
B. Initially the pipe leaks at 17 gallons per year.
C. Initially the pipe leaks 17 gallons.
D. Initially the pipe leaks at 4 gallons per minute.
E. Initially the pipe leaks 4 gallons.
F. Initially the pipe leaks at 17 gallons per minute.

Answer: F. Initially the pipe leaks at 17 gallons per minute.

Step-by-step explanation:

Given the equation below:

R = 17 + 4t

Where R is the rate of leakage in gallons per minute,

And t is the age of pipe in years.

The rate of leakage at time t = 0 ( initial rate of leakage )

R(0)= 17 + 4(0)

R(0)= 17 gallons per minute.

Therefore the initial rate of leakage is 17gallons per minute

The constant 17 in the function R = 17 + 4t represents the initial rate of water leakage from the pipe when it is brand new. The correct answer is option C. Initially the pipe leaks 17 gallons.

### Explanation:

The constant 17 in the function R = 17 + 4t represents the initial rate of water leakage from the pipe when it is brand new. This means that option C. Initially the pipe leaks 17 gallons is the correct answer.

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Hector waters his lawn if it does not rain at least 1 1/2 inches each week. It has already rained 3/8 inch this week. Which inequality represents the number of inches of rain, r, still needed so Hector does not have to water his lawn this week?A. r ≥ 1 7/8

B. r > 1 7/8

C. r ≥ 1 1/8

D. r > 1 1/8

(The fractions are mixed numbers!!!!)

Step-by-step explanation:

this is because he needs at least 1 1/2, it's already rained 3/8 inches, so to simplify the equation change 1 1/2 to 1 4/8 which is still equivalent to 1 1/2, then subtract 3/8 from 1 4/8 which will give you 1 1/8. now here is where it gets kind of tricky, both C and D seem to have 1 1/2, but the difference between them is the symbols > and ≥ are CRUCIAL!!!! (">" means that the number at the left is greater than the number at the right while "≥" means that the number at the left is greater than OR EQUAL TO the number at the right) so as you can see you also need to pay attention to what the text says, because it is mention quote on quote "Hector waters his lawn if it does not rain at least 1 1/2 inches each week," this means that if it's not at least (in other words the same as or more) 1 1/2 inches of rain a week, he will water his plants

Line segment of length k is divided into 3 equal parts. What is distance between midpoints of first and third segments?A) 2k/3 B) k C) k/6 D) 2k

The distance between the midpoints of the first segment and the third segment is 2k/3. Hence, option A is the right choice.

### What is the mid-point of a line segment?

The mid-point of a line segment is the point from which the distance to both ends of the line segment is equal.

### How to solve the question?

In the question, we are given a line segment of length k units, which is divided into 3 equal parts.

We are asked to find the distance between the midpoints of the first and third segments.

Firstly, we divide the line segment at points k/3 and 2k/3, to get three equal parts of lengths k/3 each.

Now, the mid-point of the first segment = (0 + k/3)/2 = k/6.

The mid-point of the third segment = (2k/3 + k)/2 = 5k/6

Therefore, the distance between the midpoints of the first segment and the third segment is (5k/6 - k/6) = 4k/6 = 2k/3. Hence, option A is the right choice.

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Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

ans is A

What is the y-intercept of y = -3x - 2​

This is written in slope-intercept form; y = mx + b

m = slope

b = y-intetcept

In the equation we are given;

m = -3

b = -2

Therefore, the y-intercept is -2

Best of Luck!

-2

Step-by-step explanation:

y = mx + bis how slope intercept form is written. The "mx" is the slope while the "b" is the y-intercept. In the equation y = -3x -2, we can see that -2 is the y-intercept because it is the value of "b".

At a concession stand, seven hot dogs and two hamburgers cost \$16.25; two hot dogs and seven hamburgers cost \$17.50. Find the cost of one hot dog and the cost of one hamburger.

The cost of 1 hot dog is \$1.75 and the cost of 1 hamburger is \$2.

Let x be the cost of one hot dog and y be the value of one hamburger. we will set up a system of  linear equations to solve for x and y:

From the first statement, we recognize that:

7x + 2y = 16.25 ----(1)

From the second statement, we know that:

2x + 7y = 17.50 ----(2)

We will use both substitution or elimination method to solve this system of equations. let's use elimination method right here. we are able to multiply equation (1) through 7 and equation (2) by 2 to eliminate y:

49x + 14y = 113.75 ----(3)

4x + 14y = 35 ----(4)

Subtracting equation (4) from equation (3), we get:

45x = 78.75

Dividing each sides by using 45, we get:

x = 1.75

Substituting x = 1.75 into equation (1), we can solve for y:

7(1.75) + 2y = 16.25

12.25 + 2y = 16.25

2y = 4

y = 2

Consequently, the cost of 1 hot dog is \$1.75 and the cost of 1 hamburger is \$2.

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Jacob went to Walmart to buy a water cooler for \$4650. Walmart offered an off-season discount of 18%. How much did Jacob pay for the water cooler?

Step-by-step explanation:

First, turn the discount percentage to a decimal

18%= .18

Multiply the decimal by the original price

.18 x 4650= 837

Subtract that amount from the original price to get the discount

4650-837= 3813