We are given the following equation:
[tex]7x-y=-3[/tex]
To determine the y-intercept we need to have into account that the standard form of a line equation is the following:
[tex]y=mx+b[/tex]
Where:
[tex]\begin{gathered} m=\text{ slope} \\ b=\text{ y-intercept. } \end{gathered}[/tex]
To convert the given equation into the standard form we will first subtract 7x from both sides:
[tex]-y=-7x-3[/tex]
Now we multiply both sides by -1:
[tex]y=7x+3[/tex]
Therefore, the y-intercept is 3.
