Question

Find the slope and $y$-intercept of the line whose equation is $4x-2y+1=0$.

Answer 1

The given equation is
$4x-2y+1=0$
$\Rightarrow 2y=4x+1$
$\Rightarrow y=2x+\frac{1}{2}$

Comparing with $y=mx+c$, we get
Slope : $m=2$

Now, $y$ intercept occurs when $x$ becomes $0$.

Thus, $4\times 0-2y+1=0$

$\Rightarrow 1=2y$

$\Rightarrow y=\frac{1}{2}$
Therefore, $y$ intercept is $\frac{1}{2}$.