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vladimir1956 [14]
4 years ago
7

the equation y equals 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional fro

m the graph of the equation, and how can you find the constant of proportionality

Mathematics
1 answer:
Allisa [31]4 years ago
8 0
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5

In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line

You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.

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1
babunello [35]

Answer:

B. y = 3x - 4

Step-by-step explanation:

First, using two points (0, -4) and (3, 5), find slope:

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-4)}{3 - 0} = \frac{9}{3} = 3

Slope, m = 3

Next, determine the y-intercept, b.

The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.

From the graph given, y-intercept, b, is -4.

Substitute b = -4 and m = 3 into y = mx + b.

The equation would be:

✔️y = 3x - 4

8 0
3 years ago
What is 12 divded by 2 plus 4 minus 2 multiplied by 3
ycow [4]

Answer:

4

Step-by-step explanation:

12 ÷ 2 + 4 - 2 × 3

Use order of operations to evaluate.

6 + 4 - 6

10 - 6

= 4

8 0
3 years ago
Read 2 more answers
Expreessions represent The sum of 3 and n
weeeeeb [17]

Answer:

3+n

Step-by-step explanation:

Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...

The sum of 3 and n can be written as 3+n

This cannot be solved further because there are two different variables and it is impossible to add them together

Therefore the final answer is 3+n

But in case a value is given for n we can then substitute and solve further

Hope this will help you

6 0
3 years ago
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Ivahew [28]

Answer:I will just post them

Step-by-step explanation:

4 0
3 years ago
Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))
mart [117]

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

8 0
3 years ago
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