Answer:
Step-by-step explanation:
You want to know whether the pairs of equations describe lines that are parallel, perpendicular, or neither.
Parallel lines have the same slope. When the equations are written in slope-intercept form, the coefficients of x are identical.
Perpendicular lines have opposite reciprocal slopes. When the equations are written in slope-intercept form, the product of the x-coefficients is -1.
Solving the first equation for y gives ...
y = 2x +2
The x-coefficients are 2 and -2, so the lines are neither parallel nor perpendicular.
Solving the first equation for y gives ...
y = 2/4x -1 = 1/2x -1
The x-coefficients are 1/2 and -2, which have a product of -1. These lines are perpendicular.
Solving the second equation for y gives ...
y = 2x -7/2
The x-coefficients are 2 and 2, which are identical. These lines are parallel.
