In the standard (x,y) coordinate plane, if the x-coordinate of each point on a line is 4 less than twice its y-coordinate, what is the slope of the line?

Answer 1

you could just pick two points that satisfy your given condition,
pick any y,
e.g. y = 4, then x = 4 ---> (4,4)
y = 5, then 6 --> (6,5)

slope = (5-4)/(6-4) = 1/2

or

just translate "x-coordinate of each point on a line is 4 less than twice its y-coordinate"
---> x = 2y - 4
2y = x+4
y = (1/2)x + 2--- compare with y = mx + b
slope = 1/2

Answer 2

Q. A rectangular garden has a length of x and a width of y. The garden has its length reduced by 3 feet and its width extended by 2 feet. What is the area of the new garden?