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docker41 [41]
2 years ago
7

I NEED HELPP PLZ Which equation best represents the relationship shown in this graph?

Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

Answer:

y = 2x

the formula for linear equations are y = mx+c,

where m is the gradient,

and c is the y-intercept

to find m (the gradient):

1. pick to points on the graph (eg. -2,-4 and 2,4)

2 substitute the values into the formula for gradient y2-y1/x2-x1.

m = y2-y1/x1-x2

= -4 -4/-2-2

= -8/-4

= 2

to find c (y-intercept):

- the y-intercept is where the graph cuts the y axis

- in this graph, the y-intercept is 0

hence,

c = 0

substitute m = 2 and c = 0 to y = mx+c,

y = 2x + 0

y = 2x

hence, the equation that best represents the relationship shown in the graph is y = 2x.

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Need help for question 8 and 9. I need the equation that’s passes through the points!
dsp73

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = \frac{y_2-y_1}{x_2-x_1}

For two points (1, 4) and (5, 8),

m = \frac{8-4}{5-1}

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

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

For two points (2, 10) and (6, 4)

m = \frac{10-4}{2-6}

m = -\frac{3}{2}

By substituting the value of 'm' in the equation,

y = -\frac{3}{2}x+b

Since, this line passes through (2, 10)

10 = -\frac{3}{2}(2)+b

b = 10 + 2

b = 12

Therefore, equation of the line will be,

y=-\frac{3}{2}x+12

4 0
3 years ago
Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Vilka [71]

Answer:

20 questions.

Step-by-step explanation:

Let  x  be the number of questions on the quiz.

85 %  means  85  out of  100  (or  85/ 100  )

85/ 100   = 3/x

--->100-85=15

--->15/3=5

--->100/5=20  

Meaning each question was worth 5% and there were 20 questions.

5 0
3 years ago
60% of the students on the field trip love the museum. If 24 students love the museum, how many students went on the field trip?
zhenek [66]

Answer:

40

60% of 40 is 24

so the answer would be 40

6 0
3 years ago
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