Which points lie on the line that passes through point P and is parallel to the given line? Select three options.(-4, 2)(-1,3)(-2, 2)(4,2)(-5, -1)

Answer:So we have (-1,3), (-2,2) and (-5,-1).Step-by-step explanation:So we need to find the equation of the line that is parallel to the blue line going through point P.The slope of the blue line (count the rise/run) is 1/1=1.Parallel lines have the same slope.  So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.Point P is actually the y-intercept of the line going through P.So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.You can also just write y=1x+4 as y=x+4.Testing the points:(-4,2)?Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.(-1,3)?Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.(-2,2)?Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.(4,2)?Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.(-5,-1)?Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.So we have (-1,3), (-2,2) and (-5,-1).