Use point-slope form to write the equation of a line that passes through the point left parenthesis, minus, 16, comma, minus, 14, right parenthesis (−16,−14) with slope minus, start fraction, 7, divided by, 8, end fraction -7/8

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

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

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

Given:
- Point: \((-16, -14)\)
- Slope: \(m = -\frac{7}{8}\)

Substitute the values into the point-slope formula:

\[
y - (-14) = -\frac{7}{8}(x - (-16))
\]

Simplify the equation:

\[
y + 14 = -\frac{7}{8}(x + 16)
\]

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

Would you like to simplify this into slope-intercept or standard form? Feel free to ask for more details!

---

Here are 5 related questions:
1. How do you convert from point-slope form to slope-intercept form?
2. What is the meaning of the slope in this equation?
3. Can you calculate the y-intercept of this line?
4. How would the equation change if the slope were positive \(\frac{7}{8}\)?
5. How do you graph a line from point-slope form?

**Tip:** Point-slope form is most useful when you have a point and the slope of a line.

Use point-slope form to write the equation of a line that passes through the point (−16,−14) with slope -7/8.

Learn how to write the equation of a line in point-slope form that passes through the point (-16, -14) with a slope of -7/8. This step-by-step guide will help you understand how to apply the point-slope formula in algebra. 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