How do you find the slope and intercept of #4x – 2y = 6#?

2 Answers
GlassGirl
Dec 7, 2015

Using slope-intercept form, the slope of the line #4x - 2y = 6# is #2/1#, and the y-intercept is #(0, -3)#.

Explanation:

The first thing we can notice is that this equation's terms are all easily divisible by #2#, so we can divide all the terms by #2#:

#2x - y = 3#.

Next, we can manipulate this equation into slope-intercept form, which is #y = mx + b#, where #m =#the slope of the line and #b =#the y-coordinate of the y-intercept. We're trying to isolate #y#, so subtract #2x# from both sides:

#-y = -2x + 3#.

Now divide both sides/all terms by #-1#:

#y = 2x - 3#.

From here, we can clearly see that #m = 2#, or #2/1#, and #b = -3#, which means the slope is #2/1# and the y-intercept is #(0, -3)#.

Meave60
Dec 7, 2015

The slope, #m#, is 2 and the y-intercept, #b# is #-3#.

Explanation:

#4x-2y=6#

Solve for #y#.

Subtract #4x# from both sides of the equation.

#-2y=-4x+6#

Divide both sides by #-2#.

#y=(-4)/(-2)x+6/(-2)#

Simplify.

#y=2x-3#

Slope-intercept form is #y=mx+b#, where #m# is the slope, #2#, and #b# is the y-intercept, #-3#.

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