Respuesta :

The given equation of a line is,

[tex]y=2x+4\text{ ----(1)}[/tex]

The general standard equation of a line is,

[tex]y=mx+c\text{ ------(2)}[/tex]

Here, m is the slope and c is the y intercept of the line.

Comparing equations (1) and (2), we get

[tex]\begin{gathered} m=2 \\ c=4 \end{gathered}[/tex]

To find the x intercept of the line, put y=0 in equation (1) and solve for x.

[tex]\begin{gathered} 0=2x+4 \\ 2x=-4 \\ x=\frac{-4}{2} \\ x=-2 \end{gathered}[/tex]

Therefore, the slope of the line is 2. The y intercept is 4 and the x intercept is -2.