Answer:
Put into slope-intercept form:
To find the slope.
x-8y=
x−8y=
\,\,48
48
-x\color{white}{-8y}=
−x−8y=
\,\,-x
−x
Get y alone
-8y=
−8y=
\,\,-x+48
−x+48
\frac{-8y}{-8}=
−8
−8y
=
\,\,\frac{-x+48}{-8}\hspace{50px}
−8
−x+48
Divide.
y=
y=
\,\,\frac{1}{8}x-\frac{48}{8}
8
1
x−
8
48
Distribute division. Negative over a negative is positive. Positive over a negative is a negative.
y=
y=
\,\,\frac{1}{8}x-6
8
1
x−6
Simplify fractions.
\text{Slope: }\frac{1}{8}
Slope:
8
1
\text{Parallel Slope: }\frac{1}{8}
Parallel Slope:
8
1
Equal slopes are parallel.
\text{Correct Equation: } y=\frac{1}{8}x-8
Correct Equation: y=
8
1
x−8
Step-by-step explanation:
