Question 586423
a linear function is {{{y=mx+b}}}
where m is a slope, since the slope m=2.9
{{{y=2.9x+b}}}
If {{{f(4) = 6}}} substitute {{{x=4, y=6}}} in the function to find {{{b}}}
{{{6=2.9*4+b}}} solve for {{{b}}}
{{{b=6-11.6}}}
{{{b=-5.6}}}
Hence {{{y=2.9x-5.6}}}
Substitute {{{x=7}}} to find {{{f(7)}}}
{{{f(7)=2.9*7-5.6=14.7}}}
{{{f(7)=14.7}}}