The equation "y = x - 4" represents a straight line with slope 1 and y-intercept -4. In order to determine which points are solutions to this equation, we need to substitute the given x-values into the equation and check if the resulting y-values match.
For the first point (4, 0), we substitute x = 4 into the equation:
0 = 4 - 4
0 = 0
Since the resulting y-value (0) matches the given y-value (0), the point (4, 0) is a solution to the equation.
For the second point (3, -1), we substitute x = 3 into the equation:
-1 = 3 - 4
-1 = -1
Once again, the resulting y-value (-1) matches the given y-value (-1), so the point (3, -1) is a solution.
For the third point (6, 3), we substitute x = 6 into the equation:
3 = 6 - 4
3 = 2
The resulting y-value (2) does not match the given y-value (3), so the point (6, 3) is not a solution.
For the fourth point (2, -4), we substitute x = 2 into the equation:
-4 = 2 - 4
-4 = -2
The resulting y-value (-2) does not match the given y-value (-4), so the point (2, -4) is not a solution.
Therefore, the solutions to the equation y = x - 4 are (4, 0) and (3, -1).
(4, 0), (3, −1), (6, 3), (2, −4) Which are solutions to y = x − 4?
1 answer