Respuesta :

Step 1

Given:

Step 2

The equation of a line in point-slope form is given as;

[tex]\begin{gathered} (y-y_1)=m(x-x_1) \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex][tex]\begin{gathered} (y-0)=\frac{1-0}{3-4}(x-4) \\ y=\frac{1}{-1}(x-4) \\ y=-1(x-4) \\ y=-x+4 \end{gathered}[/tex]

Answer;

[tex]y=-x+4[/tex]

Ver imagen StephanyZ695915