Question

Drag each number to the correct location on the equation. Not all numbers will be used.

ABC and RST are similar and have the same orientation. The hypotenuse of RST is on the same line as the hypotenuse of ABC and is twice the length of AB.



What is the equation of the line that contains the hypotenuse of RST?


-18
9
3
-6
-3

-9
6
18

Answer 1

y = -3x + 9

Explanation:

Have a good day.

Answer 2

The equation of the hypotenuse line is y = -3·x + 9

Therefore, the correct options are -3 and 9

Explanation:

The question asks to fill the boxes

y = _ x + _

We note that the equation is that of a straight line of the form;

y = m·x + c

Where:

m = Slope of the straight line graph and

c = Y intercept, that is the y-coordinate of the point on the line where x = 0

From the graph, we find the slope as follows;

`Slope = (y_2 - y_1)/(x_2 -x_1) = ((-9) -0)/(6-3) = -3`

Therefore, m = -3

The y intercept is found by extending the hypotenuse line to the point where it touches the y axes that is at x = 0;

From the graph, it is observed that the line, when extended, touches the y axes at the point y = 9, therefore, c = 9

Hence we have, the equation of the hypotenuse line is y = -3·x + 9.