Question 148193
First, get it into the slope-intercept form which
looks like {{{y = ax + b}}}
{{{a}}} will be the slope
{{{b}}} will be the y-intercept
The x-intercept is determined by making {{{y = 0}}}
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{{{5x + 3y = 30}}}
subtract {{{5x}}} from both sides
{{{3y = -5x + 30}}}
divide both sides by {{{3}}}
{{{y = -(5/3)x + 10}}}
The slope is {{{-(5/3)}}}
The y-intercept is {{{10}}}
For the x-intercept, go back to original equation
{{{5x + 3y = 30}}}
{{{5x + 3*0 = 30}}}
{{{5x = 30}}}
{{{x = 6}}}
Now plot it
{{{ graph( 600, 600, -10, 20, -10, 20, -(5/3)x + 10) }}}