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

Which statement is true about the coordinates of points A and B?-example-1
User Hundreth
by
7.3k points

2 Answers

6 votes

Answer:

Option A)


\displaystyle(y)/(x)\text{ of point B} = (y)/(x) \text{ of poinrt A}

Explanation:

We are given the following in the question:

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


y =\displaystyle(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(3)/(4)x_1\\\\(y_1)/(x_1)=(3)/(4)

\
y_2 =\displaystyle(3)/(4)x_2\\\\(y_2)/(x_2)=(3)/(4)

Thus, we can write,


\displaystyle(y_1)/(x_1) = (y_2)/(x_2) = (3)/(4)

Thus, from the given statements, the true statement is


\displaystyle(y)/(x)\text{ of point B} = (y)/(x) \text{ of poinrt A}

User Wooble
by
8.1k points
0 votes

Answer:


(y)/(x)\text{ for point }A=(y)/(x)\text{ for point B }

Explanation:

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


y=(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):


(y_A)/(x_A)=(3)/(4)

for point
B(x_B,y_B):


(y_B)/(x_B)=(3)/(4)

This means the first statement


(y)/(x)\text{ for point }A=(y)/(x)\text{ for point B }

is true

User Ahad Aghapour
by
8.0k points

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