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Answer:
The equation of the hypotenuse line is y = -3·x + 9
Therefore, the correct options are -3 and 9
Step-by-step 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;
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.
For this case we have the following system of equations:
We multiply the first equation by -5:
Thus, we have the equivalent system:
We add the equations:
We find the value of the variable "x":
Thus, the solution of the system is:
Answer: