Question 89008
First lets find the x-intercept:


{{{2*x-5*y=10}}}


{{{2*x-5*(0)=10}}} Plug in y=0


{{{2*x=10}}} Multiply


{{{x=5}}} Divide both sides by 2


So the x-intercept is (5,0)



Now lets find the y-intercept:


{{{2*x-5*y=10}}}


{{{2*(0)-5*y=10}}} Plug in x=0


{{{-5*y=10}}} Multiply


{{{y=-2}}} Divide both sides by -5


So the y-intercept is (0,-2)



So we have 2 points (5,0) and (0,-2). Now plot the points and draw a line through them:



{{{drawing( 500, 500, -6, 6, -6, 6, 
graph( 500, 500, -6, 6, -6, 6, (10-2x)/-5),
circle(0,-2,0.05),
circle(0,-2,0.08), 
circle(5,0,0.05),
circle(5,0,0.08)
) }}} Graph of {{{2*x-5*y=10}}} through the points (5,0) and (0,-2)