Question

100 points and brainliest to whoever gives a good explanation and answer to the question. The graph shows a proportional relationship which equation matches the graph?​

Answer 1

Answer:

B

Step-by-step explanation:

We are given a proportional relationship and we want to find the equation that models it.

Since the relationship is proportional, we know that it must go through the origin point (0, 0).

Also, we can see from the graph that it passes through the point (1, 3).

We can now find the constant of proportionality or the slope using the slope formula:

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

Let (0, 0) be (x₁, y₁) and let (1, 3) be (x₂, y₂). Hence:

$\displaystyle m=\frac{3-0}{1-0}=\frac{3}{1} = 3$

Our constant of proportionality is 3.

A proportional relationship is given by:

$y=kx$

Where k is the constant of proportionality.

So:

$y=3x$

Our answer is B.

Answer 2

Answer:

It would be B

Step-by-step explanation:

You can check each question by subsituting the x and y with points on the graph.

Example: (1,3)

y = 3x

3 = 1 x 3

3 = 3