Graph a linear function with the given slope and *y*-intercept.

slope: 3, *y*-intercept: 10

To graph a linear function with a slope of \(3\) and a \(y\)-intercept of \(10\), we start by using the slope-intercept form of a linear equation, which is:

\[
y = mx + b
\]

where:
- \(m\) is the slope,
- \(b\) is the \(y\)-intercept.

Substituting the given values:
- Slope \(m = 3\),
- \(y\)-intercept \(b = 10\),

the equation becomes:

\[
y = 3x + 10
\]

To graph this:
1. Start at the \(y\)-intercept point, which is \((0, 10)\).
2. From this point, use the slope to find another point on the line. The slope \(3\) means a rise of \(3\) units for every \(1\) unit run to the right. So, from \((0, 10)\), move up \(3\) units and right \(1\) unit to get the next point \((1, 13)\).
3. Plot these points and draw a straight line through them.

Would you like me to generate the graph for you?

---

Here are 5 related questions to consider:
1. What is the general formula for a linear equation?
2. How do you interpret the slope and \(y\)-intercept of a line?
3. What changes in the graph if the slope becomes negative?
4. How would the graph change if the \(y\)-intercept was \(0\)?
5. How can you determine if two lines are parallel?

**Tip:** The slope of a line shows how steep it is; a higher slope means a steeper line.

Graph a linear function with the given slope and y-intercept. Slope: 3, y-intercept: 10

Learn how to graph a linear function with a slope of 3 and a y-intercept of 10. This tutorial covers the slope-intercept form, explains the graphing process step-by-step, and provides tips for interpreting slope and y-intercepts. Ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation