Use point-slope form to write the equation of a line that passes through the point left parenthesis, minus, 9, comma, 14, right parenthesis(−9,14) with slope -1/2

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, and \(m\) is the slope of the line.

Given:
- The point \((-9, 14)\) where \(x_1 = -9\) and \(y_1 = 14\)
- The slope \(m = -\frac{1}{2}\)

Substituting these values into the point-slope formula:

\[
y - 14 = -\frac{1}{2}(x - (-9))
\]

Simplifying:

\[
y - 14 = -\frac{1}{2}(x + 9)
\]

This is the equation in point-slope form. If you'd like, I can also expand this to slope-intercept form or standard form.

Would you like more details or have any questions?

---

Here are 5 related questions for practice:

1. Write the equation of a line that passes through \((2, -5)\) with a slope of \(3\).
2. Convert the equation \(y - 4 = \frac{3}{2}(x + 1)\) to slope-intercept form.
3. What is the slope of a line that passes through the points \((1, 2)\) and \((3, 6)\)?
4. Write the equation of a line parallel to \(y = 2x + 1\) passing through \((4, 7)\).
5. Determine the equation of a line with slope \( \frac{1}{3} \) passing through \((-2, 8)\).

**Tip**: Always verify your point-slope equation by plugging the given point back into the equation to ensure correctness.

Use point-slope form to write the equation of a line that passes through the point (−9, 14) with slope -1/2.

Learn how to write the equation of a line in point-slope form that passes through the point (-9, 14) with a slope of -1/2. This problem covers essential algebraic concepts, including the point-slope form of a line. 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