Question 118251
{{{3x+5y=8}}}

{{{x-intercept}}}:

The {{{x-intercept}}} is where the {{{graph}}} {{{crosses}}} the {{{x- axis}}}; just ask yourself what value is{{{ y}}}{{{ always}}}{{{ going}}}{{{ to}}}{{{ be}}} on the {{{x-intercept}}}?  No matter where you are on the {{{x-axis}}},{{{ y’s}}} value is {{{0}}},  that is a {{{constant}}}. 

So, we will put {{{y=0}}} into given equation:

{{{3x+5*0 = 8}}}

{{{3x = 8}}}

{{{x = 8/3}}}

{{{x = 2(2/3)}}}

or

{{{x = 2.66}}}........so, the {{{x-intecept}}} is ({{{2.66}}},{{{0}}})


{{{y-intercept}}}
it is{{{ x’s}}} value that is {{{0}}};  any where you would cross the {{{y-axis}}},{{{ x’s}}} value is always {{{0}}}


{{{3*0+5y= 8}}}

{{{5y= 8}}}

{{{y = 8/5}}}

{{{y = 1(3/5)}}}

or

{{{y = 1.6}}}........so, the {{{y-intecept}}} is ({{{0}}},{{{1.6}}})

Graph:


*[invoke graphing_linear_equations "standard", 3, 5, 8, 2, 1]