Question 546712
The slope intercept form looks like:
{{{ y = mx + b }}}
{{{ m }}} = slope
{{{ b }}} = y-intercept
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The line {{{ y = -3x - 1 }}}
Is in the form {{{ y = mx + b }}}, so
{{{ m = -3 }}}
Any line parallel to this line will also
have slope = {{{ -3 }}}
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So far, I have {{{ y = -3x + b }}}, so
I need to find {{{ b }}}.
Plug the given point (0,5) into the equation
{{{ 5 = -3*0 + b }}}
{{{ b = 5 }}}
The equation is {{{ y = -3x + 5 }}}
Here's a plot of the 2 lines:
{{{ graph( 400, 400, -7, 7, -7, 7, -3x + 5, -3x -1) }}}