Answer:
The equation of the line is:
[tex]y=-3x+7[/tex]Explanation:
Given that the line is parallel to the line;
[tex]y=-3x+8[/tex]And passes through the point;
[tex](1,4)[/tex]Since the line is parallel to the given equation, they must have the same slope.
So, the slope of the line is -3;
[tex]m=-3[/tex]We now need to calculate the y intercept b of the line;
substituting the slope and the given point;
[tex]\begin{gathered} y=mx+b \\ 4=-3(1)+b \\ 4=-3+b \\ \text{add 3 to both sides;} \\ 4+3=-3+3+b \\ 7=b \\ b=7 \end{gathered}[/tex]Therefore, the equation of the line is;
[tex]y=-3x+7[/tex]
