Respuesta :

We have to use the slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}_{}[/tex]

Let's replace the given points in the formula.

[tex]m=\frac{4-(-7)}{3-(-6)}=\frac{4+7}{3+6}=\frac{11}{9}_{}[/tex]

Then, we use the point-slope formula to find the equation.

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-4=\frac{11}{9}(x-3) \\ y=\frac{11}{9}x-\frac{11}{3}+4 \\ y=\frac{11}{9}x+\frac{12-11}{3} \\ y=\frac{11}{9}x+\frac{1}{3} \end{gathered}[/tex]

Hence, the y-intercept is 1/3

Remember that the y-intercept is always the independent term.

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