Answer:
Explanation:
We'll look for an equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = zero).
m, the slope, is the change in y (the Rise) over the change in x (the Run). We can use the two points to calculate the slope. From smallest x to largest:
(23/12 , 1/2) to (25/12 , 0)
Rise = (0 - 1/2) = -(1/2)
Run = ((25/12) - (23/12)) = (2/12)
Slope is Rise/Run
Rise/Run = (-(1/2))/(2/12)
(-(1/2))/(2/12) = (-(1/2))*(12/2)
= -(12/4) or -3
The equation takes the form y = -3x + b
We need to find a value of b that will move this line so that it goes through both points. Do that by entering one of the known points and solving for b:
y = -3x + b
(1/2) = -3*(23/12) + b for ((23/12), (1/2))
(1/2) = - (23/4) + b
b = (1/2) + (23/4)
b = (2/4) + (23/4)
b = (25/4)
The equation of the line that goes through the 2 given points is
y = -3x + (25/4)
See the attached graph.