The slope of a line parallel to another line must have the same slope as the other line. So therefore, we just want to first find the slope of this line.
To do this, we can switch it to slope intercept form, which is y = mx + b.
-2y = -5x + 11
Notice that the y doesn't have a variable next to it in slope intercept form. This means you have to divide all the sides to -2 to cancel out that -2.
-2y = -5x + 11 /-2 /-2 /-2
y = 5/2x + 11/-2
Since in the equation, y = mx + b, the number in the position of m = the slope, we know that 5/2 is the slope.
So therefore, the slope of a line parallel to the line with equation 5x - 2y = 11 must be 5/2.
