SOLUTION: Please help...Thanks!! If a line contains the points (1,3), (2,6) and (3,9) determine and write the slope-intercept form of the equation, provide one additional point on this li

Algebra ->  Linear-equations -> SOLUTION: Please help...Thanks!! If a line contains the points (1,3), (2,6) and (3,9) determine and write the slope-intercept form of the equation, provide one additional point on this li      Log On


   



Question 75154: Please help...Thanks!!
If a line contains the points (1,3), (2,6) and (3,9) determine and write the slope-intercept form of the equation, provide one additional point on this line in (x,y) form, and graph the function.

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST WE FIND THE SLOPE (Y2-Y1)/(X2-X1)
(6-3)/(2-1)
3/3=3 IS THE SLOPE.
NOW USING THE LINE FORMULA AND ONE SET OF POINTS WE CAN FIND THE Y INTERCEPT.
3=3*1+b
3=3+b
b=3-3
b=0 THUS THE EQUATION IS
Y=3X
SETTING Y=12 WE SOLVE FOR X
12=3*X
3X=12
X=12/3
X=4 OR (4,12) FOR THE ADDITIONAL POINT ON THIS LINE
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+3x%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 3x).