Respuesta :

To get the y-intercept, find the equation of the function

Obtain the slope (m)

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

Define the x and y values to find the slope

[tex]x_1=-2,y_1=-6,x_2=-1,y_2=-5[/tex][tex]\begin{gathered} m=\frac{-5-(-6)}{-1-(-2)}=\frac{-5+6}{-1+2} \\ =\frac{1}{1} \\ =1 \end{gathered}[/tex]

Then, find the equation using a point and the slope

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-6)=1(x-(-2))_{}_{} \\ y+6=x+2 \\ y=x+2-6 \\ y=x-4 \end{gathered}[/tex]

From the above, the y-intercept is 4 and x value at y intercept is 0

H