I have to determine which two equations represent parallel lines.
equations are
(a) y=(-4)x+2
(b) y=(4)x+2
(c) y= (1/2)x +2
(d) y=(-4)x+3
I think it is b and c
Which two have the same slope? Parallel lines have the same slope.
To determine which two equations represent parallel lines, you need to examine their slopes. The slope is represented by the coefficient of the x term in each equation.
Let's analyze each equation:
(a) y = (-4)x + 2: The slope of this equation is -4.
(b) y = (4)x + 2: The slope of this equation is 4.
(c) y = (1/2)x + 2: The slope of this equation is 1/2, which can be simplified to 0.5.
(d) y = (-4)x + 3: The slope of this equation is -4.
The two equations with the same slope are (a) and (d), which have a slope of -4. Therefore, equations (a) and (d) represent parallel lines. Your initial thought was incorrect; equations (b) and (c) do not have the same slope, so they do not represent parallel lines.