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

1 Answer
Jul 28, 2016

Answer:

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

Explanation:

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]}