What is the slope of the line represented by the equation 4x + 8y = 4?

1 Answer
Feb 11, 2017

Answer:

The slope is #color(red)(m = -1/2)#

Explanation:

To find the slope we can transform this line into the slope-intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

Solving for #y# gives:

#4x + 8y = 4#

#color(red)(-4x) + 4x + 8y = color(red)(-4x) + 4#

#0 + 8y = color(red)(-4x) + 4#

#8y = -4x + 4#

#(8y)/color(red)(8) = (-4x + 4)/color(red)(8)#

#(color(red)(cancel(color(black)(8)))y)/cancel(color(red)(8)) = (-4x)/color(red)(8) + 4/color(red)(8)#

#y = color(red)(-1/2)x + color(blue)(1/2)#