Does the point (-10,68) lie on the y=-7x-2 line?

1 answer

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 \( y = -7x - 2 \).