Answer:
[tex]f(x)=\frac{3x}{7} -5[/tex]
Step-by-step explanation:
Hello
you can look for two points in the graph and find the slope
p1(0,-5) and p2(7,-2)
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{-2+5}{7-0} \\m=\frac{3}{7} \\m=\frac{3}{7}[/tex]
then , with the slope- point equation you are able to find f(x) ,let´s use p1(0,-5)
[tex]y-y_{0} =m(x-x_{0} )\\\\[/tex]
[tex]y-(-5)=\frac{3}{7} (x-0)\\y=\frac{3x}{7} -5\\\\f(x)=\frac{3x}{7} -5[/tex]
Have a great day
