Respuesta :

Given the following equation of the line:

[tex]x+4y=7[/tex]

We will find the value of the y-intercept

The y-intercept is the value of (y) when x = 0

so, substitute with x = 0, then solve for y

[tex]\begin{gathered} 0+4y=7 \\ 4y=7 \\ y=\frac{7}{4} \end{gathered}[/tex]

so, the answer will be:

The y-intercept = 7/4

And the point of the y-intercept = (0, 7/4)

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