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Pani-rosa [81]
3 years ago
14

Point D is located at (-13, -1). Point Q is located at (0, 12). Determine the slope-intercept equation of line DQ.

Mathematics
2 answers:
Lunna [17]3 years ago
8 0
Use the slope formula to determine the slope of the two points. Since (0,12) is the y-intercept it is already given.

Y = x +12
anastassius [24]3 years ago
7 0

Answer:

y=x+12

Step-by-step explanation:

m (slope)=1

y-intercept=12

hope this helped have a great day :)

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Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.
emmasim [6.3K]

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

.

2x + 3 = 4x + 7

.

Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

.

2x + 3 - 3 = 4x + 7 - 3

.

Combining numbers on the left side and on the right side simplifies the equation to:

.

2x = 4x + 4

.

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

.

 

2x - 4x = 4x - 4x + 4

.

On both sides of the equation combine terms containing x to get:

.

-2x = 4

.

Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

.

x = 4/-2 = -2

.

So now that we know x = -2, we can return to either one of the original equations  

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

.

y = 2x + 3

.

Then substituting -2 for x gives:

.

y = 2*(-2) + 3 = -4 + 3 = -1

7 0
2 years ago
-3-4(4x-8)=3(-8x-1) I will give BRAINLIEST! show all steps please :(
mixer [17]

Step-by-step explanation:

-3-4 -32x=3×8x

-3-4-32x=24x

-6=32x+24x

-6=56x

:. x=-28/3

3 0
2 years ago
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miskamm [114]
Akim ran 69.75 miles in the course of 18 days.
3 0
2 years ago
Read 2 more answers
Jules purchased a box of baseball cards for her collection. The original price was $22.80, but the store was having a sale with
Nesterboy [21]
With the discount the cards cost $17. 10
8 0
2 years ago
here are approximately 4.2 million births in a country each year. Find the birth rate in units of births per minute.
marusya05 [52]

Answer:

8 births to 1sf

Step-by-step explanation:

4.2m births per year in unspecified country.

4.2 / 0.000365 = 11506.8493  per day

11506.8493 / 24 = 479.452054  per hour

479.452054 / 60 = 7.99086757  per minute  = 8 births to 1sf

3 0
2 years ago
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