Question

How do you find the slope of the line whose equation is `2x – 4y = 10`?

Answer 1

Yo can rearrange your equation and "see" you slope as coeficient of `x`:
isolating `y` you have:
`y=1/2x-5/2`

So your slope is `1/2`

Answer 2

The slope of the line is `1/2`.

The equation of a line in slope-intercept form is `y=mx + b`, where `m` is the slope, `b` is the y-intercept, and `x` and `y` are a point on the line.

In order to determine the slope from the given equation, do the following:

`2x - 4y = 10` (Subtract `2x` from both sides.)

`-4y = -2x + 10` (Divide both sides by -4.)

`y = (-2x)/(-4) + (10)/(-4)` (Simplify.)

`y = 1/2 x - (5)/(2)`