Question 1003687
The equation is {{{y=2x+2}}} .
The x-intercept is the point (or the x-coordinate of the point in the x-axis) where {{{y=0}}} .
In this case, for {{{y=0}}} ,
{{{2x+2=0}}}--->{{{(2x+2)/2=0/2}}}--->{{{2x/2+2/2=o}}}--->{{{x+1=0}}}--->{{{x=-1}}} .
The x-intercept is the value {{{-1}}} FOR {{{x}}} ,
or the point (-1.0).
The y-intercept is the point (or the y-coordinate of the point in the t-axis) where {{{x=0}}} .
In this case, for {{{x=0}}} ,
{{{y=2*0+2=0+2=2}}}--->{{{y=2}}} .
The y-intercept is the value {{{2}}} for {{{y}}} ,
or the point (0,2).
Since two points uniquely determine a line,
you can use the two axis intercept points two graph the line.
You just plot the two points (on an x-y coordinate space), and connect them with a straight line:
{{{drawing(300,300,-5,5,-5,5,
grid(1),
red(circle(-1,0,0.2)),
red(circle(0,2,0.2)),
red(line(-4,-6,2,6))
)}}}