To determine if the point $(-8, 10)$ lies on the line defined by the equation $y = -2x + 9$, we can substitute the $x$- and $y$-coordinates of the point into the line equation and check if the equation holds true.

Given:

• Point: $(-8, 10)$
• Line equation: $y = -2x + 9$

Step 1: Substitute the coordinates into the line equation

Substitute $x = -8$ and $y = 10$ into the equation $y = -2x + 9$:

$10 = -2(-8) + 9$

Step 2: Simplify the right-hand side

$10 = 16 + 9$

$10 = 25$

Conclusion

The equation does not hold true because $10 \neq 25$. Therefore, the point $(-8, 10)$ does not lie on the line $y = -2x + 9$.

Would you like more details or have any questions?

Related Questions:

1. How do you find the equation of a line given two points?
2. How do you determine if two lines are parallel?
3. How can you find the slope of a line given its equation?
4. How do you calculate the distance from a point to a line?
5. What is the slope-intercept form of a line?

Tip:

Always substitute the point's coordinates back into the equation to verify if it lies on the given line. This helps confirm the accuracy of the result.