Question 443877
First get it into the form
{{{ y = mx + b }}}
where {{{m}}} = slope and {{{b}}} = y-intercept
{{{ -3x + y = 5 }}}
Add {{{3x}}} to both sides
{{{ y = 3x + 5 }}}
slope = {{{3}}}
y-intercept = {{{5}}}
The x-intercept is where {{{y = 0}}}, so
{{{ 0 = 3x + 5 }}}
{{{ 3x = -5 }}}
{{{ x = -5/3 }}}
So, now you have 2 points, (0,5), (-5/3,0) and the slope, {{{m = 3}}}
The graph is:
{{{ graph( 400, 400, -7, 7, -7, 7, 3x + 5) }}}