Question 186544
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A Line Eqn---->{{{2x+y=2}}}
Following Slope-Intercept Form,{{{y=mx+b}}}, and check the line thru  (-1,4):
Transforming given eqn to Slope-Intercept Form:
{{{y=-2x+2}}}
Let Fy=0
{{{0=-2x+2}}}---->{{{2x=2}}}---->{{{cross(2)x/cross(2)=cross(2)1/cross(2)1}}}
{{{x=1}}}
Let Fx=0
{{{y=-2(0)+2=2}}}
Next, substitute (-1,4) to the Line Eqn:
{{{2(highlight(-1))+highlight(4)=2}}}
{{{-2+4=2}}}
{{{2=2}}}--->It satisfies the Line Eqn.
We'll see in the graph the intercepts:
{{{drawing(400,400,-5,5,-5,5,grid(1),graph(400,400,-5,5,-5,5,-2x+2),blue(circle(1,0,.12)),blue(circle(0,2,.12)),green(circle(-1,4,.10)),green(circle(-1,4,.08)))}}}-->Shows the line passing thru point (-1,4), and is a SOLUTION.


Thank you,
Jojo</pre>