SOLUTION: my homework says to "identify three more points on the line that passes through the point (-4,-2) & has a slope of 2/3" i have no clue what it is asking

Algebra ->  Linear-equations -> SOLUTION: my homework says to "identify three more points on the line that passes through the point (-4,-2) & has a slope of 2/3" i have no clue what it is asking      Log On


   



Question 370441: my homework says to "identify three more points on the line that passes through the point (-4,-2) & has a slope of 2/3" i have no clue what it is asking
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
my homework says to "identify three more points on the line that passes through the point (-4,-2) & has a slope of 2/3" i have no clue what it is asking
Plot the point (-4,-2):



The denominator of the slope 2/3 is 3, so draw a horizontal line 
3 units right from the point (-4,-2).  I'll draw it in green:



The numerator of the slope 2/3 is 2, so draw a vertical line 
2 units right from the end of that green line up 2 units.  
I'll also draw it in green:



That's the point (-1,0), so that's one point.

Now do the same thing from the point (-1,0).  Draw a horizontal line
3 units right and 2 units up, just as you did with the first point.




That's the point (2,2), so that's another point.

Now do the same thing from the point (2,2).  Draw a horizontal line
3 units right and 2 units up, just as you did with the first point.



That's the point (5,4), so that's another point, and you can see they're
all on the same line



Edwin