The slope of the line parallel to the line given will be the same. Parallel lines NEVER tough and cross each other. Therefore, the slope will be the same.
First convert the equation into slope intercept form and to determine the slope.
4y - 7x = - 4 Add 7x to both sides
+7x +7x
4y = 7x -4 Now divide both sides by 4
y = 7/4x - 1 In this case the slope is 7/4 and the y-intercept is -1 .
Now notice that the slope of parallel lines have the same slope and different y-intercepts. Meaning that the slope of this line will be same as the slope of the other line.
The answer would be B. As you can see Angle A and angle B are connected by that line and together they would equal 90 degrees like on the other side of line AB.