Find the y-intercept and x-intercept of the following linear equation.

5x+y=−5

To find the intercepts of the linear equation \( 5x + y = -5 \), we'll calculate both the x-intercept and the y-intercept.

### 1. Finding the **x-intercept**:
The x-intercept occurs where \( y = 0 \).

Substitute \( y = 0 \) into the equation:
\[
5x + 0 = -5
\]
Simplify to find \( x \):
\[
5x = -5
\]
\[
x = \frac{-5}{5} = -1
\]
So, the x-intercept is \( (-1, 0) \).

### 2. Finding the **y-intercept**:
The y-intercept occurs where \( x = 0 \).

Substitute \( x = 0 \) into the equation:
\[
5(0) + y = -5
\]
Simplify to find \( y \):
\[
y = -5
\]
So, the y-intercept is \( (0, -5) \).

### Summary:
- **x-intercept**: \( (-1, 0) \)
- **y-intercept**: \( (0, -5) \)

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the slope of the equation \( 5x + y = -5 \)?
2. What is the equation of a line parallel to \( 5x + y = -5 \)?
3. How would the intercepts change if the equation were \( 5x + y = 5 \)?
4. How do you graph the line \( 5x + y = -5 \) using the intercepts?
5. What is the general form of a linear equation, and how does it relate to the slope-intercept form?

**Tip:** Remember, intercepts are found by setting the opposite variable to zero and solving the equation.

Find the y-intercept and x-intercept of the following linear equation: 5x + y = −5.

Learn how to find the x-intercept and y-intercept of the linear equation 5x + y = -5 with step-by-step explanations. This problem covers key algebraic concepts of linear equations and intercepts, suitable for students in Grades 6-8.

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