Respuesta :

Answer:

[tex]y=\frac{1}{8}x+4[/tex]

Explanation:

The information we have about the line is:

slope

[tex]m=\frac{1}{8}[/tex]

Y- intercept is (0,4) here, the y-coordinate 4 is the point where the line crosses the y-axis and is the y-intercept usually represented by the letter b:

[tex]b=4[/tex]

Now, the general equation for a line in the slope-intercept form is:

[tex]y=mx+b[/tex]

We substitute the known values:

[tex]y=\frac{1}{8}x+4[/tex]

This is the equation for the line in slope -intercept form.