Answer:
The slope is [tex]\frac{2}{8}[/tex]
Step-by-step explanation:
Take the general equation of a straight line [tex]y = mx+c[/tex]
Here [tex]m[/tex] is the slope of the line.
So let's get the equation of the line in the question in the same form.
[tex]-48 = 2x-8y[/tex]
Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]
Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]
Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]
Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]
