Respuesta :
Answer:
The y-intercept would be 1.
Step-by-step explanation:
Since, the equation of the line passes through [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Thus, the equation of the line passes through the points (8, -1) and (-4, 2) is,
[tex] y+1=\frac{2+1}{-4-8}(x-8)[/tex]
For y-intercept, x = 0,
[tex]y+1=\frac{3}{-12}(0-8)[/tex]
[tex]y+1=\frac{1}{4}\times 8[/tex]
[tex]y+1=2[/tex]
[tex]\implies y = 1[/tex]
Hence, y-intercept of the line would be 1.
