Answer:
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
Step-by-step explanation:
Slope of the line: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
f(x) = mx + b (b - is y-intercept)
(0, - 2) Coordinates of y-intercept
(4, - 3)
m = [tex]\frac{-3+2}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
