Question

Which statement is true about the coordinates of points A and B?

Answer 1

Answer:

$\dfrac{y}{x}\text{ for point }A=\dfrac{y}{x}\text{ for point B }$

Step-by-step explanation:

From the graph, you can see that both points A and B lie on the same straight line given by equation

$y=\dfrac{3}{4}x$

Now, if point with coordinates (x,y) lies on the line, then its coordinates satisfy the equation.

So, for point $A(x_A,y_A):$

$\dfrac{y_A}{x_A}=\dfrac{3}{4}$

for point $B(x_B,y_B):$

$\dfrac{y_B}{x_B}=\dfrac{3}{4}$

This means the first statement

$\dfrac{y}{x}\text{ for point }A=\dfrac{y}{x}\text{ for point B }$

is true

Answer 2

Answer:

Option A)

$\displaystyle\frac{y}{x}\text{ of point B} = \frac{y}{x} \text{ of poinrt A}$

Step-by-step explanation:

We are given the following in the question:

Point A and B lies on the line with the equation:

$y =\displaystyle\frac{3}{4}x$

Let $(x_1,y_1)$ be the coordinates of A and let $(x_2,y_2)$ be the coordinates of point B, then, these points satisfy the equation of the given line.

Thus, we can write:

$y_1 =\displaystyle\frac{3}{4}x_1\\\\\frac{y_1}{x_1}=\frac{3}{4}$

\$y_2 =\displaystyle\frac{3}{4}x_2\\\\\frac{y_2}{x_2}=\frac{3}{4}$

Thus, we can write,

$\displaystyle\frac{y_1}{x_1} = \frac{y_2}{x_2} = \frac{3}{4}$

Thus, from the given statements, the true statement is

$\displaystyle\frac{y}{x}\text{ of point B} = \frac{y}{x} \text{ of poinrt A}$