What is the slope of a line parallel to the line
whose equation is: -2x + y = - 7?

The slope of a line in the form \(Ax + By = C\) (called the standard form) can be determined by converting the equation to the slope-intercept form \(y = mx + b\), where \(m\) is the slope.

Let's rewrite the given equation:

\[
-2x + y = -7
\]

Solve for \(y\) by isolating it on one side:

\[
y = 2x - 7
\]

Now the equation is in slope-intercept form, and the slope \(m\) is the coefficient of \(x\). So, the slope of this line is \(m = 2\).

### Parallel lines have the same slope. Therefore, the slope of any line parallel to this one is also \(2\).

---

Would you like more details on this or have any additional questions? Here are some related questions to consider:

1. What is the slope of a line perpendicular to this one?
2. How do you find the y-intercept of a line in slope-intercept form?
3. Can you find the equation of a line parallel to this one passing through a specific point?
4. What is the general formula for the slope of a line given two points?
5. How do parallel and perpendicular slopes relate to each other geometrically?

**Tip:** The slope of a line describes its steepness and direction—positive slopes rise, while negative slopes fall.

What is the slope of a line parallel to the line whose equation is: -2x + y = -7?

Learn how to find the slope of a line parallel to the equation -2x + y = -7. This problem involves key algebra concepts like converting equations to slope-intercept form and applying the parallel lines theorem. Ideal 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