Question 195074
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Remember Slope-Intercept Form,{{{system(y=mx+b)}}}, where {{{m=Slope}}}


Given: {{{(1/4)(x)+6y=12}}}


Arranging terms:
{{{6y=-(1/4)x+12}}}
{{{cross(6)y/cross(6)=((-1/4)x+12)/6}}}
{{{y=(-1/4)x/6+12/6}}}
{{{red(y=red((-1/24))x+2)}}}, {{{Slope = m =(-1/24)}}}


*Remember Slope?, Rise (up or down) on the y-axis over Run (left or right) on the x-axis.


To verify the eqn, see graph:
{{{drawing(500,500,-10,80,-3,4,grid(1),graph(500,500,-10,80,-3,4,(-1/24)x+2),green(circle(24,1,.7)),green(circle(48,0,.7)),green(circle(72,-1,.7)))}}} ---> see points (24,1), (48,0)), & (72,-1) from Y-Intercept (b), (0,2)


Thank you,
Jojo</font>