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

1 Answer
Jun 22, 2016

Slope = -1/2=12

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=CXXXAx+By=C
the slope is
color(white)("XXX")m=-A/BXXXm=AB

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

Given 2+2y=42+2y=4
color(white)("XXX")2y=-x+4XXX2y=x+4

color(white)("XXX")y=-1/2x+2XXXy=12x+2
which is the slope-intercept form with slope (-1/2)(12)