Tell whether the lines for the pair of equations would be parallel, perpendicular, or neither.
y = 7x + 9 y = 7x + 6 A)
Perpendicular B)
I don't know C)
Parallel D) Neither
they have the same slope, but not the same y-intercept.
So the lines are parallel.
To determine whether the lines given by the pair of equations are parallel, perpendicular, or neither, we need to compare the slopes of the two lines.
The equations are:
y = 7x + 9 (equation 1)
y = 7x + 6 (equation 2)
Both equations have the same coefficient of x, which is 7. The slope of a line is given by the coefficient of x.
Since both equations have the same slope of 7, the lines are parallel.
Therefore, the answer is:
C) Parallel
To determine if two lines are parallel, perpendicular, or neither, we can look at their slopes. The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line.
For the first equation, y = 7x + 9, the slope is 7.
For the second equation, y = 7x + 6, the slope is also 7.
Since the slopes of both lines are identical (both slopes are 7), the lines are parallel to each other.
Therefore, the correct answer is C) Parallel.