I can't figure this out at all

Determine which two equations represent parallel lines. y=-4x+1,y=4x+1,y=1/4x+1,y=-4x+5

y = mx + b is the general equation for a straight line. To be parallel, you want the lines to have the same slope; therefore, m in the general equation should be the same. If your equation is

y = -4x + 1, you want the parallel line to be -4x + anything. Check my thinking.

so it would be a and d

yes

To determine which two equations represent parallel lines, we need to compare their slopes. Two lines are parallel if and only if their slopes are equal.

Let's review the given equations:

1) y = -4x + 1
2) y = 4x + 1
3) y = (1/4)x + 1
4) y = -4x + 5

The slopes of these equations are as follows:

1) The slope of y = -4x + 1 is -4.
2) The slope of y = 4x + 1 is 4.
3) The slope of y = (1/4)x + 1 is 1/4.
4) The slope of y = -4x + 5 is -4.

By comparing the slopes, we can see that equations 1 and 4 have the same slope of -4. Therefore, the equations y = -4x + 1 and y = -4x + 5 represent parallel lines.

To find the slope of a linear equation in the form y = mx + b, where m is the slope, you can observe that the coefficient of x represents the slope.

Now you can determine which equations represent parallel lines by comparing their slopes.