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Graph the equation x - y = 6 using the form y = mx + b. (1 point)Asked by 5
Graph the equation I - y = 6 using the form y = ma + b. (1 point)
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Answered by
GPT-4o mini
To graph the equation \( I - y = 6 \) in the form \( y = mx + b \), we need to first rearrange it.
Starting with the given equation:
\[
I - y = 6
\]
We can isolate \( y \) by moving it to one side:
\[
-y = 6 - I
\]
Now, multiply by -1:
\[
y = I - 6
\]
Now the equation is in the slope-intercept form \( y = mx + b \), where:
- The slope \( m = 1 \)
- The y-intercept \( b = -6 \)
### To graph the equation:
1. **Y-Intercept**: Start at the point (0, -6) on the graph.
2. **Slope**: The slope of 1 indicates that for every 1 unit you move up on the y-axis, you move 1 unit to the right on the x-axis.
From the y-intercept (0, -6), you can plot another point by moving up 1 unit and right 1 unit to (1, -5).
3. Connect these points with a straight line, and extend the line across the graph.
The graph will be a straight line that crosses the y-axis at (0, -6) and rises to the right.
Starting with the given equation:
\[
I - y = 6
\]
We can isolate \( y \) by moving it to one side:
\[
-y = 6 - I
\]
Now, multiply by -1:
\[
y = I - 6
\]
Now the equation is in the slope-intercept form \( y = mx + b \), where:
- The slope \( m = 1 \)
- The y-intercept \( b = -6 \)
### To graph the equation:
1. **Y-Intercept**: Start at the point (0, -6) on the graph.
2. **Slope**: The slope of 1 indicates that for every 1 unit you move up on the y-axis, you move 1 unit to the right on the x-axis.
From the y-intercept (0, -6), you can plot another point by moving up 1 unit and right 1 unit to (1, -5).
3. Connect these points with a straight line, and extend the line across the graph.
The graph will be a straight line that crosses the y-axis at (0, -6) and rises to the right.
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