Question

Select the correct option(s) for the line $3x-2y=2.$

• A. slope $=\frac{3}{2}$
• B. slope $=-\frac{3}{2}$
• C. $y-$intercept $=1$
• D. $y-$intercept $=-1$

Answer 1

Answer: (A), (D)

$y-$intercept $=-1$

Given, $3x-2y=2$
Convert the given equation into slope intercept form of equation of a line i.e.
$y=mx+b$
Where $m$ is the slope and $b$ is the $y$-intercept of the line.

Simplify the given equation:
$3x-2y=2$
Isolate the $y$ term
$\Rightarrow 2y=3x-2$
Divide both sides by 2 to make the coefficient of $y$ has 1.
$\Rightarrow \frac{2y}{2}=\frac{3x}{2}-\frac{2}{2}$
$\Rightarrow y=\frac{3}{2}x-1$

On comparing this equation with $y=mx+b$
We get:
Slope $=m=\frac{3}{2}$
$y$-intercept $=b=-1$

Hence, options (a.) and (d.) are correct choices.