What is 12x-4y=-812x4y=8 written in slope-intercept form?

2 Answers
Aug 3, 2018

See a solution process below:

Explanation:

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 this equation for yy gives:

12x - 4y = -812x4y=8

-color(red)(12x) + 12x - 4y = -color(red)(12x) - 812x+12x4y=12x8

0 - 4y = -12x - 804y=12x8

-4y = -12x - 84y=12x8

(-4y)/color(red)(-4) = (-12x - 8)/color(red)(-4)4y4=12x84

(color(red)(cancel(color(black)(-4)))y)/cancel(color(red)(-4)) = (-12x)/color(red)(-4) - 8/color(red)(-4)

y = 3x - (-2)

y = color(red)(3)x + color(blue)(2)

Aug 3, 2018

color(crimson)(y = 3 x + 2

Slope = m = 3, y-intercept = c = 2#

Explanation:

Slope- intercept form of equation y = m x + c

12x - 4y = -8

12x + 8 = 4y

y = (12/4)x + (8/2)

color(crimson)(y = 3 x + 2

Slope = m = 3, y-intercept = c = 2#