Question 772329
When the equation is given in that form, finding the x- and y-intercepts is easy.
 
The x-intercept is a point on the x-axis, with {{{highlight(y=0)}}}
{{{system(y=0,-4x+2y=32)}}} --> {{{-4x=32}}} --> {{{x=32/(-4)}}} --> {{{highlight(x=-8)}}}
 
The y-intercept is a point on the y-axis, with {{{highlight(x=0)}}}
{{{system(x=0,-4x+2y=32)}}} --> {{{2y=32}}} --> {{{y=32/2}}} --> {{{highlight(y=16)}}}
 
{{{drawing(300,300,-10,10,-2,18,
grid(0),circle(-8,0,0.3),circle(0,16,0.3),
line(-10,-4,10,36)
)}}}