Determine whether the lines are parallel, perpendicular, or neither.
y = 9x + 9 and y = -9x + 9
Is this perpendicular since they go across from each other
To determine whether two lines are parallel, perpendicular, or neither, we need to compare their slopes.
First, let's rewrite the equations of the lines in slope-intercept form (y = mx + b), where m represents the slope.
For the line y = 9x + 9, we can see that the slope is 9.
For the line y = -9x + 9, we can see that the slope is -9.
Since the slopes of the two lines are negative reciprocals of each other (i.e., 9 * -9 = -81), these lines are perpendicular.
Explanation:
- In the slope-intercept form y = mx + b, the coefficient m represents the slope of the line.
- When two lines are perpendicular, their slopes are negative reciprocals of each other. In other words, if the slope of one line is m, the slope of the other line will be -1/m.
- In this case, one line has a slope of 9, and the other line has a slope of -9. These slopes are negative reciprocals, indicating that the lines are perpendicular.