y=-3x
(-1,-5)
(0,0)
Which of the above is the correct answer
To check if a given point satisfies a given equation, you need to substitute the values of x and y into the equation.
For the equation y = -3x:
When x = -1, y = -3(-1) = 3
So (-1, 3) does not satisfy the equation.
When x = 0, y = -3(0) = 0
So (0, 0) satisfies the equation.
Therefore, the correct answer is (0, 0).
To determine which of the given points is on the line represented by the equation y = -3x, we can substitute the x and y values of each point into the equation and check if the equation holds true.
Plug in the x and y values of the first point (-1, -5) into the equation:
-5 = -3 * (-1)
-5 = 3
This equation is not true, so (-1, -5) is not a point on the line represented by the equation y = -3x.
Now, plug in the x and y values of the second point (0, 0) into the equation:
0 = -3 * 0
0 = 0
This equation is true, so (0, 0) is a point on the line represented by the equation y = -3x.
Therefore, the correct answer is: (0, 0)
To determine which point, (-1,-5) or (0,0), is on the line defined by the equation y = -3x, we need to substitute the x-coordinate of each point into the equation and see if the resulting y-coordinate matches.
For the point (-1,-5):
Substituting x = -1 into the equation y = -3x:
y = -3(-1) = 3
The resulting y-coordinate is 3, not -5. Therefore, (-1,-5) is not on the line.
For the point (0,0):
Substituting x = 0 into the equation y = -3x:
y = -3(0) = 0
The resulting y-coordinate is 0, which is consistent with the given point (0,0). Therefore, (0,0) is on the line.
Thus, the correct answer is (0,0).