What is the equation in slope-intercept form of the line: #2y -4x=- 2#?

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Answer 1 · 2017-01-06T12:42:09

#y = 2x - 1#

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.

To transform this equation to this form we can solve for #y#;

#2y - 4x = -2#

#2y - 4x + color(red)(4x) = -2 + color(red)(4x)#

#2y - 0 = color(red)(4x) - 2#

#2y = color(red)(4x) - 2#

#(2y)/color(red)(2) = (4x - 2)/color(red)(2)#

#(color(red)(cancel(color(black)(2)))y)/cancel(color(red)(2)) = (4x)/color(red)(2) - 2/color(red)(2)#

#y = 2x - 1#