The problem asks us to convert the given linear equation $8x - y = 9$ into slope-intercept form, then identify the slope and y-intercept of the line.
2025/3/6
1. Problem Description
The problem asks us to convert the given linear equation into slope-intercept form, then identify the slope and y-intercept of the line.
2. Solution Steps
First, we need to convert the equation into slope-intercept form, which is , where is the slope and is the y-intercept.
We have .
Subtract from both sides:
Multiply both sides by :
Now the equation is in slope-intercept form .
Next, we identify the slope . In the slope-intercept form , is the slope.
In our equation , the slope is .
Finally, we identify the y-intercept. In the slope-intercept form , is the y-intercept.
In our equation , the y-intercept is . The y-intercept as an ordered pair is .