Consider the following equation.

4x−2y=84x−2y=8

Step 3 of 3 :  

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

Let's go through the process of determining the slope of the line given by the equation:

\[
4x - 2y = 8
\]

### Step 1: Write the equation in slope-intercept form.

The slope-intercept form of a line is:

\[
y = mx + b
\]

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

To convert \( 4x - 2y = 8 \) into this form, solve for \( y \):

1. Start with the given equation:
   \[
   4x - 2y = 8
   \]
   
2. Subtract \( 4x \) from both sides:
   \[
   -2y = -4x + 8
   \]

3. Divide both sides by \( -2 \) to isolate \( y \):
   \[
   y = 2x - 4
   \]

Now we have the equation in slope-intercept form: \( y = 2x - 4 \).

### Step 2: Identify the slope and y-intercept.

- The slope (\( m \)) is **2**.
- The y-intercept (\( b \)) is **-4**.

### Step 3: Plot a point on the line.

Since the slope is 2, this means that for every 1 unit increase in \( x \), \( y \) increases by 2 units.

1. Start at the y-intercept, which is the point \( (0, -4) \).
2. To find another point, apply the slope:
   - Increase \( x \) by 1: \( x = 1 \).
   - Increase \( y \) by 2: \( y = -4 + 2 = -2 \).

So, another point on the line is \( (1, -2) \).

### Conclusion:

- The slope of the line is **2**.
- One point on the line (other than the y-intercept) is \( (1, -2) \).

Would you like more details on plotting this or any further clarification?

Here are 5 additional questions that expand on this information:

1. How do you calculate the slope from two points on a line?
2. What happens to the line if the slope is negative?
3. How would the equation change if the slope was 0?
4. Can you find the x-intercept for this line?
5. How does changing the y-intercept affect the graph?

**Tip**: To quickly check if a point lies on a line, plug its coordinates into the equation of the line and see if it satisfies the equation.

Consider the following equation: 4x − 2y = 8. Indicate the slope of the line by plotting a point on the line other than the y-intercept.

Learn how to find the slope of the line represented by the equation 4x − 2y = 8 and plot a point on the line other than the y-intercept. This step-by-step guide covers key concepts like the slope-intercept form and is suitable for students in Grades 8-10.

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