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.

AlgebraLinear EquationsSlope-Intercept FormSlopeY-intercept
2025/3/6

1. Problem Description

The problem asks us to convert the given linear equation 8xy=98x - y = 9 into slope-intercept form, then identify the slope and y-intercept of the line.

2. Solution Steps

First, we need to convert the equation 8xy=98x - y = 9 into slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
We have 8xy=98x - y = 9.
Subtract 8x8x from both sides:
y=8x+9-y = -8x + 9
Multiply both sides by 1-1:
y=8x9y = 8x - 9
Now the equation is in slope-intercept form y=8x9y = 8x - 9.
Next, we identify the slope mm. In the slope-intercept form y=mx+by = mx + b, mm is the slope.
In our equation y=8x9y = 8x - 9, the slope is m=8m = 8.
Finally, we identify the y-intercept. In the slope-intercept form y=mx+by = mx + b, bb is the y-intercept.
In our equation y=8x9y = 8x - 9, the y-intercept is b=9b = -9. The y-intercept as an ordered pair is (0,9)(0, -9).

3. Final Answer

y=8x9y = 8x - 9
m=8m = 8
(0,9)(0, -9)