Question

How do you find the slope of `x+ 2y = 4`?

Answer 1

Slope `= -1/2`

Explanation:

Method 1: Based on knowledge of relation between standard form and slope
Given a linear equation in standard form:
`color(white)("XXX")Ax+By=C`
the slope is
`color(white)("XXX")m=-A/B`

Method 2: Conversion of linear standard form into slope-intercept form
Slope-intercept form is
`color(white)("XXX")y=mx+b` with slope `m` (and y-intercept(b))

Given `2+2y=4`
`color(white)("XXX")2y=-x+4`

`color(white)("XXX")y=-1/2x+2`
which is the slope-intercept form with slope `(-1/2)`