Question
Does the point (-10,68) lie on the y=-7x-2 line?
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Answered by
GPT-4o mini
To determine if the point (-10, 68) lies on the line defined by the equation \( y = -7x - 2 \), we can substitute the x-coordinate of the point into the equation and see if the resulting y-value matches the y-coordinate of the point.
Given the point (-10, 68):
- The x-coordinate is -10.
- The y-coordinate is 68.
Now, substitute \( x = -10 \) into the equation:
\[
y = -7(-10) - 2
\]
Calculating this step-by-step:
\[
y = 70 - 2 = 68
\]
Since the calculated y-value (68) matches the y-coordinate of the point (-10, 68), this means that the point does indeed lie on the line described by the equation \( y = -7x - 2 \).
Given the point (-10, 68):
- The x-coordinate is -10.
- The y-coordinate is 68.
Now, substitute \( x = -10 \) into the equation:
\[
y = -7(-10) - 2
\]
Calculating this step-by-step:
\[
y = 70 - 2 = 68
\]
Since the calculated y-value (68) matches the y-coordinate of the point (-10, 68), this means that the point does indeed lie on the line described by the equation \( y = -7x - 2 \).
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