Write a linear equation in two variables with slope 2 that passes through the point 
(x, y) = (0, 9).


To write a linear equation with a slope of 2 that passes through the point \((0, 9)\), we can use the point-slope form of a linear equation, which is:

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

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

In this case:
- \(m = 2\),
- \((x_1, y_1) = (0, 9)\).

Substitute these values into the point-slope formula:

\[
y - 9 = 2(x - 0)
\]

Simplify:

\[
y - 9 = 2x
\]

Now, add 9 to both sides:

\[
y = 2x + 9
\]

So, the linear equation is:

\[
y = 2x + 9
\]

Would you like more details or have any other questions?

Here are some related questions for you to explore:
1. How do you find the slope of a line given two points?
2. What is the difference between point-slope form and slope-intercept form?
3. Can a linear equation have a slope of 0? What does that mean?
4. How can you determine if a point lies on a given line?
5. How do you write an equation of a line parallel or perpendicular to another line?

**Tip:** The slope-intercept form \(y = mx + b\) is especially useful when you know the slope and the y-intercept of a line.

Write a linear equation in two variables with slope 2 that passes through the point (x, y) = (0, 9).

Learn how to write a linear equation with a slope of 2 that passes through the point (0, 9). This problem demonstrates the use of point-slope and slope-intercept forms. 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