Question 195274
What is the slope of a line that is parallel to the line represented by the equation 4y – 5x = 6?


4y – 5x = 6 can be written as


4y = 5x + 6 or y = 5x/4 + 3/2


For the line y = mx + c the slope or gradient is m, so for our equation we have a slope of 5/4.


Any line parallel to this will also have the same slope.


Therefore the slope of the line that is parallel to the line represented by the equation 4y – 5x = 6 is 5/4.