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To solve this question using the point-slope form of a line equation, we will use the formula:

\[
y - y_1 = m(x - x_1)
\]

where:
- \( m \) is the slope,
- \( (x_1, y_1) \) is the point that the line passes through.

From the problem, the point is \( (16, -14) \) and the slope \( m = 1 \).

Substitute these values into the formula:

\[
y - (-14) = 1(x - 16)
\]

Simplify:

\[
y + 14 = x - 16
\]

To get the equation in slope-intercept form, subtract 14 from both sides:

\[
y = x - 30
\]

So, the equation of the line is:

\[
y = x - 30
\]

This should be the correct answer to input. Let me know if you have further questions!

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Here are 5 questions to deepen your understanding:
1. What is the general form of the point-slope equation of a line?
2. How do you convert point-slope form to slope-intercept form?
3. What does the slope represent in the equation of a line?
4. Can a point-slope equation be used to find the equation of a vertical line?
5. How would you find the equation if the slope was negative?

**Tip**: Always double-check if the point satisfies the final equation you derive to ensure accuracy!

Use point-slope form to write the equation of a line that passes through the point (16, -14) with slope 1.

Learn how to use the point-slope form to write the equation of a line passing through the point (16, -14) with slope 1. This tutorial covers key concepts in algebra and guides students through converting point-slope form to slope-intercept form. Suitable for Grades 9-10.

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