A line passes through the point  (-8, 5) and has a slope of -3/4

Write an equation in point-slope form for this line.

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

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

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

Given:
- The point \((-8, 5)\),
- The slope \(m = -\frac{3}{4}\),

Substituting these values into the point-slope form:

\[
y - 5 = -\frac{3}{4}(x + 8)
\]

This is the equation of the line in point-slope form.

Would you like to go into more detail about how to convert this into slope-intercept form or explore a related topic? 

Here are five questions related to this concept:
1. How do you convert the point-slope form to the slope-intercept form?
2. What is the slope-intercept form of the equation derived above?
3. How do you find the equation of a line parallel to this line?
4. What is the y-intercept of the line described by this equation?
5. How can you determine the x-intercept of this line?

**Tip:** The point-slope form is particularly useful when you know a point on the line and the slope, as it directly incorporates this information into the equation.

Learn how to write the equation of a line passing through the point (-8, 5) with a slope of -3/4 using the point-slope form. This problem covers key geometric concepts including linear equations and slope calculations. Suitable for students in Grades 7-9.

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