Answer:
[tex]x=5.9[/tex]
Step-by-step explanation:
we know that
The linear function in slope intercept form is equal to
[tex]f(x)=mx+b[/tex]
we have
[tex]m=3.7\\point (4,-7)[/tex]
substitute and solve for b
[tex]-7=(3.7)(4)+b[/tex]
[tex]-7=14.8+b[/tex]
[tex]b=-21.8[/tex]
The linear function is
[tex]f(x)=3.7x-21.8[/tex]
For f(x)=0
substitute and solve for x
[tex]0=3.7x-21.8[/tex]
[tex]3.7x=21.8[/tex]
[tex]x=21.8/3.7[/tex]
[tex]x=5.9[/tex]
