How do you find the slope and y-intercept for the graph of the equation: 4x - 2y = 24?

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Answer 1 · 2016-07-28T17:46:39

Slope of #4x-2y=24# is #2# and intercept on #y#-axis is #-12#.

The slope intercept form of equation of line is #y=mx+c#, where #m# is the slope of line and #c# is its intercept on #y#-axis.

Hence to find slope and intercept on #y#-axis, one needs to solve the equation for #y#.

As equation is #4x-2y=24#

#-2y=-4x+24# and hence

#y=(-4)/(-2)x+24/(-2)#

or #y=2x-12#

Hence slope of #4x-2y=24# is #2# and intercept on #y#-axis is #-12#.

graph{4x-2y=24 [-18.67, 21.33, -14.88, 5.12]}