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Answer :
Final answer:
The points on the line represented by the equation y = -4x + 170 are (0, 170), (5, 150), and (60, -70). To find this, one should substitute the x values of the points into the equation and check if the resulting y value matches the y value in the given point.
Explanation:
Given the equation y = -4x + 170, to find the points located on the line, you need to substitute the x values of points into the equation and see if resulting y value is the same as in the point.
For example let's take the point (0, 170). The -4 multiplied by 0 equals 0, and 0 added to 170 equals 170. Thus, the correct y value of the point where x=0 is indeed 170, therefore, the point (0, 170) is on the line.
The same testing should be performed for other points:
- For (170,0), you end up with a y value of -510, which is not the one we have in the point, so this point is not on the line.
- For (12,126), the y value equals 122, not 126, hence this point is as well not on the line.
- For (50, 30), the calculated y equals -30, which is not the expected 30. So, this point doesn't belong to the line.
- For (5, 150), we calculate y as 150 which matches the y in point, so the point is on the line.
- For (60, -70) the y value works out to be -70, so this point is indeed on the line.
Therefore, the points (0, 170), (5, 150), and (60, -70) belong to the line represented by the equation y = -4x + 170.
Learn more about Line Equation here:
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