SOLUTION: how do you find two points on a line with only one point and the slope?

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Question 93476This question is from textbook precalculus with limits
: how do you find two points on a line with only one point and the slope?
 This question is from textbook precalculus with limits

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
GIVEN 1 POINT OF (2,-3) & A SLOPE (m) OF 3.
YOU SOLVE THE STANDARD LINE EQUATION :
Y=mX+b WHERE (m)=SLOPE & (b)=Y INTERCEPT.
SUBSTITUTE THE [POINTS COORDINATES FOR X&Y & THE 3 FOR THE SLOPE & SOLVE FOR THE Y INTERCEPT (b)
-3=3*2+b
-3=6+b
b=-3-6
b=-9 SO THE LINE EQUATION IS
Y=3X-9 FOR A SLOPE OF 3 THROUGH THE POINT (2,-3)
NOW THAT YOU HAVE THE EQUATION SET X=0 & SOLE FOR Y:
Y=3*0-9
Y=-9 OR THE POINT (0,-9) IS ANOTHER POINT OIN THIS LINE.
SET Y=0 & SOLVE FOR X
0=3X-9
3X=9
X=3 OR (3,0) IS ANOTHER POINT.
GRAPH FOLLOWS:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+3x+-9%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 3x -9).