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Fynjy0 [20]
3 years ago
8

What is the equation of the line that passes through the points (-6,-18) and (-1,-8)

Mathematics
2 answers:
Ilya [14]3 years ago
8 0

Answer:

the desired equation is y = 2x - 6

Step-by-step explanation:

Moving from the point (-6, -18) to the point (-1, -8), we see that x increases by 5 (this is the 'run').  At the same time, y increases by 10 ("rise").  Thus, the slope of the line connecting these two points is m = rise / run = 10/5 = 2

Now use the slope-intercept form of the equation of a straight line:  y = mx + b.  Using the point (-1, -8), we substitute -1 for x and -8 for y, along with 2 for m.  Then:

-8 = 2(-1) + b.  We must find b.  Adding 2 to both sides yields -6 = b.

Thus, the desired equation is y = 2x - 6.

Lisa [10]3 years ago
5 0

Answer:

2x-6 is the equation

Step-by-step explanation:

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Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take
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Answer:

C.

Step-by-step explanation:

c is the only one that even makes sense

6 0
3 years ago
Luke's turkey chili recipe calls for 2.5 pounds of ground turkey for every 5 servings. How many servings can he make if he has 6
alexira [117]

Answer:

12 servings

Step-by-step explanation:

Luke's turkey chili recipe calls for 2.5 pounds of ground turkey for every 5 servings. How many servings can he make if he has 6 pounds of ground turkey?

From above question:

2.5 pounds of ground turkey = 5 servings

6 pounds of ground turkey = x

Cross Multiply

2.5 × x = 6 × 5

x = 6 × 5/2.5

x = 12 servings

Hence, 6 pounds of ground turkey can make 12 servings.

Completing the explanation.

The equation is

5x = 2.5y

where:

x = represent how many pounds of ground turkey he has = 6 pounds

y = to represent how many servings he can make

Hence,

5 × 6 = 2.5y

y = 5 × 6/2.5

y = 12 servings

6 0
3 years ago
Mark is solving an equation where one side is a quadratic expression and the other side is a linear expi
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0

Step-by-step explanation:

8 0
3 years ago
A data set that includes the years in which your hometown team won championships would be classified as what type of data
Elenna [48]

Answer:

Interval

Step-by-step explanation:

The interval scale is guageable and data following this scale can be added and subtracted.

Years are values we can either subtract or minus so they fall under the interval scale.

Also, they have no absolute zero, which is a characteristic of the interval scale.

3 0
3 years ago
How can you tell that the following number is a rational number?
icang [17]

Answer:

In order to be called a 'rational' number, a number must be the quotient that results when one non-zero integer is divided by another. An irrational number can be written as a decimal, but not as a fraction. Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed.

8 0
3 years ago
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