Determine C if the line 5x-4y=C intersects the x-axis at point (2,0).What are the coordinates of the point of intersecting with y-axis?
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given
5x-4y=c----(1)
substitute x=2,y=0 in (1)
5*2-0=c
therefore
c=10
write c=10 in(1)
5x-4y=10----(2)
to find coordinayes if the line intersects y-axis
take x=0 put in(2)
5*0-4y=10
-4y=10
y=-10/4
y=-5/2
required point (0,-5/2)
5x-4y=c----(1)
substitute x=2,y=0 in (1)
5*2-0=c
therefore
c=10
write c=10 in(1)
5x-4y=10----(2)
to find coordinayes if the line intersects y-axis
take x=0 put in(2)
5*0-4y=10
-4y=10
y=-10/4
y=-5/2
required point (0,-5/2)
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