Question

Given that x = 3, y = -2, and 2y = -x + 2, what shape do the lines create?

a) Parallel lines
b) Perpendicular lines
c) Intersecting lines
d) Coincident lines

Answer 1

The lines created by the given equations are parallel lines. Hence, option a) is correct.

Step-by-step explanation:

The lines created by the given equations can be determined by analyzing their slopes. We can first rearrange the equation 2y = -x + 2 to solve for y: y = (-x + 2) / 2.

In this equation, the coefficient of x is -1/2 which represents the slope.

The slope of a line parallel to another line will have the same value, so if the slope of one line is -1/2, then any line with the same slope will also be parallel.

Therefore, the lines created by the given equations are parallel lines (option a).