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.

Learn how to verify if the point (-8, 10) lies on the line defined by the equation y = -2x + 9. Follow a step-by-step solution to substitute the coordinates into the equation and check for accuracy. Suitable for students in Grades 7-9.

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