https://file.aiquickdraw.com/mathbot/file/1726077323639dul7tnyd.jpg

To write the equation of a line using the point-slope form, we can use the formula:

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

where:
- \( m \) is the slope of the line,
- \( (x_1, y_1) \) is a point on the line.

From the image, the slope \( m = \frac{1}{2} \), and the point \( (x_1, y_1) = (16, -16) \).

Substitute the values into the formula:

\[
y - (-16) = \frac{1}{2}(x - 16)
\]

Simplify:

\[
y + 16 = \frac{1}{2}(x - 16)
\]

This is the equation of the line in point-slope form.

Do you want more details or explanations? Here are 5 related questions to further your understanding:

1. How would you convert this point-slope equation into slope-intercept form?
2. What is the importance of using the point-slope form in writing equations?
3. How would the equation change if the slope were negative?
4. Can you graph this equation using the point-slope form?
5. How would you write the equation if the point were \((-16, 16)\)?

**Tip:** Always check that the point you use in point-slope form is correctly substituted, as small errors in sign can affect the whole equation.

Use point-slope form to write the equation of a line that passes through the point (16, -16) with slope 1/2.

Learn how to write the equation of a line that passes through the point (16, -16) with a slope of 1/2 using the point-slope form. This problem focuses on linear equations and is suitable for students in Grades 8-10.

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