Question

what is the slope of the line?
$8x - 6y = 1$
choose 1 answer:
a $dfrac{1}{6}$
b $dfrac{4}{3}$
c $dfrac{3}{4}$
d $dfrac{1}{8}$

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the equation $8x-6y = 1$. First, we want to solve for $y$.
Subtract $8x$ from both sides of the equation:
$-6y=-8x + 1$

Step2: Solve for y

Divide each term in the equation $-6y=-8x + 1$ by $-6$:
$y=\frac{-8x}{-6}+\frac{1}{-6}$
Simplify the fractions:
$y=\frac{4}{3}x-\frac{1}{6}$
In the slope - intercept form $y = mx + b$, the coefficient of $x$ is the slope. So the slope $m=\frac{4}{3}$.

Answer:

B. $\frac{4}{3}$