Question 1123076
The equation is a straight line
The possibilities are:
(1) the line is parallel to the y-axis
(2) the line is parallel to the x-axis
(3) the line intersects both x and y axes
(4) the line goes through the origin
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{{{ 4x = 6y + 2 }}}
At the x-intercept, {{{ y = 0 }}}
At the y-intercept, {{{ x = 0 }}}
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X-intercept:
{{{ 4x = 6*0 + 2 }}}
{{{ 4x = 2 }}}
{{{ x = 1/2 }}}
( 1/2, 0 )
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Y-intercept:
{{{ 4*0 = 6y + 2 }}}
{{{ 6y = -2 }}}
{{{ y = -1/3 }}}
( 0, -1/3 )
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Here’s the plot:
{{{ graph( 400,400,-3,3,-3,3, (2/3)*x - 1/3 ) }}}