Question 322975
The line is in point-slope form, {{{y-yp=m(x-xp)}}}
where {{{m=2}}} and (xp,yp)=(-2,-2).
Plot the point (-2,2).
{{{drawing(300,300,-5,5,-5,5,grid(1),circle(-2,-2,.2),graph(300,300,-5,5,-5,5,0))}}}
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The slope is change in y over change in x.
When x changes 1, y changes 2.
Find the coordinates of another point starting from (-2,2),
x:{{{-2+1=-1}}}
y:{{{-2+2=0}}}
(-1,0) is another point on the line.
Plot it also.
{{{drawing(300,300,-5,5,-5,5,grid(1),circle(-2,-2,.2),circle(-1,0,.2),graph(300,300,-5,5,-5,5,0))}}}
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Then add the line that goes through both points.
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{{{drawing(300,300,-5,5,-5,5,grid(1),circle(-2,-2,.2),circle(-1,0,.2),graph(300,300,-5,5,-5,5,2x+2))}}}