Respuesta :

the slope is 3
whatever is in front of the x is the slope

Answer: [tex]\dfrac{-3}{8}[/tex]

Step-by-step explanation:

The general equation of a line in intercept form is given by :-

[tex]y=mx+c[/tex], where m is the slope of line and c represents the y-intercept of the line.

The given equation : [tex]8y = 4 - 3x[/tex]

Divide 8 on both the sides , we get

[tex]y = \dfrac{1}{2} -\dfrac{3}{8}x\\\\\Rightarrow\ y=-\dfrac{3}{8}x+ \dfrac{1}{2} [/tex]

We can see that, the slope of the line : [tex]m=\dfrac{-3}{8}[/tex]