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The slope \( m \) of the line is 3.0. Now, let's use the point-slope form of a line equation:

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

We can use the point \( (15, 100) \) along with the slope \( m = 3 \). The point-slope equation becomes:

\[
y - 100 = 3(x - 15)
\]

Next, I'll convert this into slope-intercept form \( y = mx + b \).The slope-intercept form of the equation is:

\[
y = 3x + 55
\]

To summarize:
- **Point-slope form**: \( y - 100 = 3(x - 15) \)
- **Slope-intercept form**: \( y = 3x + 55 \)

Do you want more details or have any other questions?

Here are 5 related questions:
1. How do you calculate the slope between any two points?
2. What is the general form of the point-slope equation?
3. How can you derive the slope-intercept form from the point-slope form?
4. What does the slope represent in a linear equation?
5. How do you interpret the y-intercept in the slope-intercept form?

**Tip**: The slope-intercept form \( y = mx + b \) is useful because it directly shows both the slope \( m \) and the y-intercept \( b \), making graphing the line easier.

Write an equation of the line in point-slope form that passes through the given points in the table for problem 34. Then write the equation in slope-intercept form.

Learn how to write the equation of a line using point-slope form and convert it to slope-intercept form based on the given points in the table for problem 34. This exercise covers linear equations, slope calculation, and conversion between forms. Suitable for students in Grades 8-10.

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