https://file.aiquickdraw.com/mathbot/file/17268829777125rz2r9f4.jpg

The problem asks to use the point-slope form to write the equation of a line that passes through the point \((-19, -15)\) and has a slope of 5.

The point-slope form of a line is given by:

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

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

In this case:
- \(m = 5\) (the slope),
- \((x_1, y_1) = (-19, -15)\) (the point the line passes through).

Substituting these values into the point-slope formula:

\[
y - (-15) = 5(x - (-19))
\]

Simplifying:

\[
y + 15 = 5(x + 19)
\]

This is the equation of the line in point-slope form. You can leave it in this form or expand it further into slope-intercept form if needed.

Would you like to expand it into slope-intercept form, or keep it in point-slope form?

---

**Relative Questions:**

1. How do you convert the point-slope form to slope-intercept form?
2. What is the general form of the equation of a line?
3. How would the equation change if the slope was negative?
4. Can you write the equation if the point given is on the y-axis?
5. How do you find the slope if two points on the line are given?

**Tip:** When using the point-slope form, be careful with the signs when substituting values for \(x_1\) and \(y_1\).

Use point-slope form to write the equation of a line that passes through the point (-19, -15) with slope 5.

Learn how to use point-slope form to write the equation of a line passing through the point (-19, -15) with a slope of 5. This algebra problem covers key concepts in linear equations and point-slope form, 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