Answer:
[tex]f(x)=5x-7[/tex]
Step-by-step explanation:
The given line passes through the points;
[tex](x_1,y_1)=(3,8)[/tex]
and
[tex](x_2,y_2)=(4,13)[/tex]
Let us find the slope using;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{13-8}{4-3}[/tex]
[tex]m=\frac{5}{1}=5[/tex]
The equation is given by;
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the values into the formula to obtain;
[tex]y-8=5(x-3)[/tex]
[tex]y=5x-15+8[/tex]
[tex]y=5x-7[/tex]
There the equation of the line is
[tex]f(x)=5x-7[/tex]
