The general formula of an equation is [tex]y=mx+b[/tex] we are told that the y-intercept is -2 as such we have the following so far [tex]y=mx-2[/tex] to calculate the slope we do the following: [tex]y=mx-2 \\ 12=m(4)-2 \\ 12=4m-2 \\ 14=4m \\ m= \frac{14}{4} [/tex] therefore the equation is [tex]y= \frac{14}{4}x-2 [/tex]