Question

Find the slope of the line given by it equation : $2x+4y=10$

Answer 1

Given, $2x+4y=10$

Factor out $2$ from the left hand side, i.e.

$2(x+2y)=10$

$x+2y=5$

Set $x+2y=5$ in the slope intercept form: $y=mx+c$, where $m=$ co-efficient of $x$ $=$ slope, then

$x+2y=5\to y=mx+c$

$2y=-x+5\to y=mx+c$
$y=-\frac{x}{2}+\frac{5}{2}\to y=mx+c$

From what you have above,

$m$ $=$ slope of the line: $2x+4y=10$ is $-\frac{1}{2}$.