Question 610639
In order to find the slope and y-intercept of the line,
you must get the equation into the form
{{{ y = m*x + b }}} . In fact, this is called the slope-intercept form.
{{{ m }}} = slope
{{{ b }}} = y-intercept
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{{{ 6y + 5x + 7 = 12 + 5x }}}
Subtract {{{5x}}} from both sides
{{{ 6y + 7 = -5x + 5x + 12 }}}
Subtract {{{ 7 }}} from both sides
{{{ 6y = -7 }}}
Divide both sides by {{{6}}}
{{{ y = -7/6 }}}
Believe it or not, this is now in the correct form.
If I say
{{{ m = 0 }}}
{{{ b = -7/6 }}}, then
{{{ y = mx + b }}} is
{{{ y = 0*x + (-7/6) }}}
{{{ y = -7/6 }}}
So, the slope is {{{0}}} and the
y-intercept is {{{ -7/6 }}}