[tex]\begin{gathered} \text{remember that the standard form of the equation of a line is:} \\ y=mx\text{ +b} \\ \text{where m is the slope, if m>0 then it is increasing, if not it is decreasing} \\ as\text{ the line pass }through\text{ (1,4) and the slope is 2 we have the following equation} \\ y-4=2(x-1) \\ so\text{ we have that } \\ y-4=2x-2 \\ y=2x-2+4=2x+2 \\ to\text{ get y-intercept, we hace to replace x by 0, so} \\ y=2 \\ to\text{ get x-intercept, we have to replace y by 0 } \\ 0=2x+2,\text{ then 2x=-2, therefore x=-1} \\ \end{gathered}[/tex]
