Question 687393
The general form of the equation is
{{{ y = m*x + b }}} where {{{ m }}} is the slope
given:
The line passes through (-4,-5)
The format is (x,y), so plug the point into the equation
{{{ -5 = m*(-4) + b }}}
Note that {{{ b }}} is the y-intercept, but if the slope is not
defined, then the y-intercept can be anywhere on y-axis
{{{ -5 = -4m + b }}}
{{{ b = 4m - 5 }}}
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The general equation is:
{{{ y = m*x + 4m - 5 }}}
{{{ y = m*( x + 4 ) - 5 }}}
check:
Does the line pass through (-4,-5 ) ?
{{{ -5 = m*( -4 + 4 ) - 5 }}}
{{{ -5 = m*0 - 5 }}}
{{{ -5 = -5 }}}
OK