Final answer:
After substituting the x-coordinate (-1) into the equation y=4x-3, we find that the y-coordinate matches the given point's y-coordinate (-7). Hence, the point (-1,-7) is a solution to the equation.
Step-by-step explanation:
The question asks us to determine whether the given point (-1,-7) is a solution to the linear equation y=4x-3. To do this, we substitute the x-coordinate of the point (-1) into the equation and check if the resulting y-value is equal to the y-coordinate of the point (-7).
Let's substitute x = -1 into the equation:
y = 4(-1) - 3
y = -4 - 3
y = -7
The calculated y-value is indeed -7, which matches the y-coordinate of the given point. Therefore, the point (-1,-7) is a solution to the equation y=4x-3.