Decide whether the following lines are parallel, perpendicular, or neither. y = - 12x + 4
y =7/2x-3

they are neither

Step-by-step explanation:

if they were parallel, they would have the same slope.

if they were perpendicular, they would have one positive slope of a value and the negative version for the other slope (example: one slope would be -8 and the other would be 8)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions