Determine the slope and the -intercept of the line. Express numbers as integers or simplified fractions.15X-Y=0

To find the slope and \( y \)-intercept of the line represented by the equation:

\[
15x - y = 0
\]

1. **Rewrite in Slope-Intercept Form**:
   Start by rearranging the equation to match the slope-intercept form, \( y = mx + b \), where \( m \) represents the slope and \( b \) represents the \( y \)-intercept.

   \[
   -y = -15x
   \]

   Divide both sides by \(-1\):

   \[
   y = 15x
   \]

2. **Identify the Slope and \( y \)-Intercept**:
   Now that the equation is in slope-intercept form \( y = mx + b \):
   - The **slope** \( m \) is \( 15 \).
   - The **\( y \)-intercept** \( b \) is \( 0 \) (since there is no constant term).

### Final Answer:
- **Slope**: \( 15 \)
- **\( y \)-Intercept**: \( 0 \)

Would you like a deeper explanation of this problem or have any questions? 

---

Here are some related questions for practice:
1. How would you find the slope and \( y \)-intercept of \( 3x - 4y = 8 \)?
2. What is the slope of a line parallel to \( y = 15x + 3 \)?
3. If a line has a slope of \(-2\) and passes through the point \((3, 4)\), what is its equation?
4. What is the \( y \)-intercept of the line \( 7x + 2y = 10 \)?
5. How can you determine the \( x \)-intercept of the line \( y = 15x \)?

**Tip:** When rearranging an equation into slope-intercept form, always isolate \( y \) on one side to clearly see the slope \( m \) and intercept \( b \).

Determine the slope and y-intercept of the line. Express numbers as integers or simplified fractions. 15x - y = 0

Determine the slope and y-intercept of the line represented by 15x - y = 0 with step-by-step explanations. This solution guides students in rearranging linear equations into slope-intercept form to identify the slope and y-intercept. Suitable for 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