Two lines are parallel if their slopes are identical. Let's recall the slope-intercept form of a line.
y= mx+b
Here, we can identify the slope of the line as the value of m. We will rewrite each equation in this form and highlight their slopes.
Line
Given Equation
Slope-Intercept Form
Slope
a
4y+x=8
y= -1/4x+2
-1/4
b
2y+x=4
y= -1/2x+2
-1/2
c
2y=-3x+6
y= -3/2x+3
-3/2
Now that we have identified the slope of each line, we can see that none of the lines have the same slope, so none of them are parallel.
