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3 years ago

What equation can be used to show that the slope of the line is the same between any two points?

1 answer:

4 0

If you think about slopes it will always be rise over run! Think of rise as climbing a mountain and run as in walking on the mountain you just climbed. In order to find an equation of any problem, you first need to look at a graph for your first clue. See if the line goes straight through the corners of certain places on the graph. If so than you just count rise over run!
In conclusion my thesis or solution for your question would be C.

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You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games

Amanda [17]

Answer:

$y=-3x+48$

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: $y=mx+b$ , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ ,

$m=\frac{21-33}{9-5}$

$m=\frac{-12}{4}=-3$

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

$33=-3\cdot 5+b$

$33=-15+b$

$33+15=b$

$48=b$

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

$y=-3x+48$

Therefore, our desired equation will be $y=-3x+48$ .

6 0

3 years ago

What is the exact value of tan(105°). 2 +V3 -2+V3 2-√3 -2-√3

makvit [3.9K]

The answer is −2−√3.

8 0

3 years ago

jason and his family travels 160 miles in 3.2 hours. if they continue at this constant speed, how long will it take them to trav

Misha Larkins [42]

Set up a proportion
160 mi/ 3.2 hrs ≈ 300 mi/x hrs
cross multiply and solve for x and you get x≈6
It will take them 6 hours

3 0

3 years ago

3x+3y=6 and 5x-6y=15

Anna71 [15]

Multiply first equaton by 2 and add to the other equation

6x+6y=12
5x-6y=15 +
11x+0y=27

11x=27
divide both sides by 11
x=27/11

sub back
3x+3y=6
divide both sides by 3
x+y=2
(27/11)+y=2
2 and 5/11+y=2
minus 2 and 5/11 both sides
y=-5/11

x=27/11
y=-5/11
(27/11,-5/11)

7 0

3 years ago

How many times larger is 4 x 10 12 than 8 x 10 7?

USPshnik [31]

Answer:

50000 times

Step-by-step explanation:

Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.

5 0

3 years ago