Question

Write a linear function f with the given values. f(0) = -2,f(4) = -3

Answer 1

Answer:

f(x) = $-\frac{1}{4}$ x - 2

Step-by-step explanation:

Slope of the line: m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ )

f(x) = mx + b (b - is y-intercept)

(0, - 2) Coordinates of y-intercept

(4, - 3)

m = $\frac{-3+2}{4-0}$ = $-\frac{1}{4}$

f(x) = $-\frac{1}{4}$ x - 2