The floor of a one-story building is 14 feet longer than it is wide. the building has 1551 square feet of floor space.
(a) write a quadratic equation for the area of the floor in terms of w.
(b) find the length l and width w of the floor. w = ft l = ft

Y=-1/4x+8

First find the slope

Slope= y-y1/x-x1

So (6-7)/(8-4) = -1/4

Now take that slope and use one of the points and plug them into the point slope formula to solve for your y intercept.

Point slope formula: y=mx+b

So 7=-1/4(4)+b OR 6=-1/4(8)+b

Either way you’ll get b=8!

Put em together and you get: y=-1/4x+8

Ps you can double check your answer by plugging in one or both of the points into your equation to see if it works :)