2x + 3y = 1,470
To solve using the slope intercept method, we need to solve for y.
First, subtract 2x from each side.
3y = -2x +1470
The, we need to divide both sides of the equation by by 3 to solve for y
y = -2/3 x + 490.
We know the y intercept is 470, which means on the y axis we place at point at positive 490. The slope is -2/3. We go down 2 units and over to the right 3 units and place a point. We draw a line connecting these two points extending only to the right until it reaches the x axis. We cannot have negative x because we cannot sell negative lunch specials. We cannot have negative y, because y is the number of specials sold.
