Question 162028
Hi, Hope I can help
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WHICH EQUATIONS OF LINES PASS THROUGH 0,6 
Y=6X+5
Y=5X+6
Y=5X+3
Y=4X+6
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Points are given as (x,y)
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Point (0,6)(x,y), it means "x" = "0", "y" = "6"
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To find if point (0,6) is a point on a line, all you do is replace "x" and "y" in the equations with the point, in this case (0,6)
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Replace "x" with "0", and "y" with "6", in all of the equations
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(0,6),{{{ Y=6X+5 }}} = {{{ (6)=6(0)+5 }}} = {{{ 6 = 0+5 }}} = {{{ 6 = 5 }}} (False)
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(0,6), {{{ Y=5X+6 }}} = {{{ (6)=5(0)+6 }}} = {{{ 6 = 0+6 }}} = {{{ 6 = 6 }}} ( True) ( Point (0,6) is a point on the line )
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(0,6), {{{ Y=5X+3 }}} = {{{ (6)=5(0)+3 }}} = {{{ 6=0+3 }}} = {{{ 6 = 3 }}} ( False )
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(0,6), {{{ Y=4X+6 }}} = {{{ (6)=4(0)+6 }}} = {{{ 6=0+6 }}} = {{{ 6=6 }}} ( True ) ( Point (0,6) is a point on the line )
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Here are the lines on a graph
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Blue Line = {{{ Y = 5X + 3}}}
Redish Brown Line = {{{ Y = 6X + 5 }}}
Green Line = {{{ Y=5X+6 }}}
Purple Line = {{{ Y=4X+6 }}}
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{{{ drawing ( 1000,1000,-20,20,-20,20,grid (1), graph ( 1000,1000,-20,20,-20,20, 6x+5, 5x+6,5x+3, 4x+6), circle (0,6,0.1), blue (circle (0,6,0.2))) }}}
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The line equations, {{{ Y=5X+6 }}} and {{{ Y=4X+6 }}}, have (0,6) as a point
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Hope I helped, Levi