Answer:
y = -2x + 8
Step-by-step explanation:
f(2) = 4 is the same as (2, 4) where x = 2 and y = 4
f(3) = 2 is the same as (3, 2) where x = 3 and y = 2
m is the slope of the line
b is the y-intercept
y = mx + b
To find the slope,
m = (y2 - y1)/(x2 - x1) = (2 - 4)/(3 - 2) = (-2)/(1) = -2
m = -2
y = -2x + b
To solve for b, take one of the two given values.
Using (2, 4)
4 = -2(2) + b
4 = -4 + b
b = 8
Using (3,2)
2 = -2(3) + b
2 = -6 + b
b = 8
y = -2x + 8
To double check b = 8,
The y-intercept is when x = 0.
y = -2(0) + 8
y = 8
(0, 8)
