a line with slope of 2 passes through the point 9,2 what is the equation in point slope form

To find the equation of the line in point-slope form, we use the formula:

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

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

Given:
- Slope \( m = 2 \)
- Point \( (x_1, y_1) = (9, 2) \)

Substituting these values into the formula:

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

So, the equation of the line in point-slope form is:

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

Would you like more details or have any questions about this? 

Here are 5 related questions to expand on this topic:
1. How would you convert the equation to slope-intercept form?
2. What is the equation of a line parallel to this line passing through a different point?
3. How do you find the y-intercept from the point-slope form equation?
4. How can you find the distance between two points on this line?
5. What is the significance of the slope in determining the direction of the line?

**Tip:** In point-slope form, the equation directly tells you the slope and a specific point on the line, making it a very useful form for writing equations quickly when this information is given.

A line with slope of 2 passes through the point (9,2). What is the equation in point-slope form?

Learn how to find the equation of a line with a slope of 2 passing through the point (9,2) in point-slope form. This example demonstrates the use of the point-slope formula in linear equations. Ideal for students in Grades 8-10.

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