Question

Please help! 20+ points!!

Answer 1

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)