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

1 Answer
Feb 11, 2017

The slope is color(red)(m = -1/2)m=12

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)y=mx+b

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

Solving for yy gives:

4x + 8y = 44x+8y=4

color(red)(-4x) + 4x + 8y = color(red)(-4x) + 44x+4x+8y=4x+4

0 + 8y = color(red)(-4x) + 40+8y=4x+4

8y = -4x + 48y=4x+4

(8y)/color(red)(8) = (-4x + 4)/color(red)(8)8y8=4x+48

(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)