https://file.aiquickdraw.com/mathbot/file/1726961189916ssrkkjkb.jpg

To write the equation of a line in point-slope form, we use the following 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 problem:
- Slope \(m = 5\),
- Point \((x_1, y_1) = (20, 19)\).

Substituting the values into the formula:

\[
y - 19 = 5(x - 20)
\]

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

Would you like further details or clarifications?

Here are some follow-up questions for deeper understanding:

1. How would you convert this point-slope form into slope-intercept form?
2. What would the equation look like in standard form?
3. Can you find the y-intercept using the point-slope equation?
4. What if the slope were negative? How would the equation change?
5. Can you graph this equation? What does it tell you about the line?

**Tip**: The point-slope form is particularly useful when you have a point and a slope, but converting it to slope-intercept form can help when graphing or solving other types of problems.

Use point-slope form to write the equation of a line that passes through the point (20, 19) with slope 5.

Learn how to write the equation of a line using point-slope form. This example covers the equation of a line passing through the point (20, 19) with a slope of 5. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation