Consider the following equation.

5x+5y=155x+5y=15

Step 3 of 3 :  

Indicate the slope of the line by plotting a point on the line other than the y-intercept.

We are given the equation:

\[
5x + 5y = 15
\]

### Step 1: Simplify the Equation
We can simplify the equation by dividing every term by 5:

\[
x + y = 3
\]

This is now a linear equation, where we can find both the slope and points on the line.

### Step 2: Write in Slope-Intercept Form
To find the slope of the line, rewrite the equation in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept:

\[
y = -x + 3
\]

Here, the slope \( m = -1 \) and the y-intercept \( b = 3 \) (i.e., the point \( (0, 3) \)).

### Step 3: Find Another Point
To plot another point, choose any value for \( x \), and solve for \( y \).

Let’s choose \( x = 1 \):

\[
y = -1 + 3 = 2
\]

Thus, the point \( (1, 2) \) lies on the line. 

### Step 4: Indicate the Slope by Plotting the Point
The slope of the line is \( -1 \). A point other than the y-intercept that lies on the line is \( (1, 2) \).

Would you like a detailed graph or more clarification on how to plot the slope? 

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Here are 5 related questions:
1. What is the significance of the slope in this equation?
2. How can we find the x-intercept of this line?
3. Can you calculate another point on this line using a different \( x \)-value?
4. How does the slope influence the steepness of the line?
5. How would the equation change if the slope were positive instead of negative?

**Tip:** When finding points on a line, choose simple values for \( x \) or \( y \) to quickly calculate corresponding coordinates.

Indicate the slope of the line by plotting a point on the line other than the y-intercept for the equation 5x + 5y = 15.

Learn how to find the slope and plot points for the linear equation 5x + 5y = 15. This step-by-step solution simplifies the equation to y = -x + 3 and demonstrates how to calculate the slope and find another point on the line. Suitable for Grades 7-10.

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