SOLUTION: Any help you can give me on this will be greatly appreciated. Find the equation of the line that goes through the following set of points. (8,10) (12,22)

Question 97146: Any help you can give me on this will be greatly appreciated.
Find the equation of the line that goes through the following set of points.
(8,10) (12,22)
Found 2 solutions by checkley71, mathslover:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
THE LINE EQUATION IS Y=mX+b WHERE (m)=THE SLOPE & (b)=Y INTERCEPT.
SLOPE IS CALCULATED THUS:
(Y2-Y1)/(X2-X1)
(22-10)/(12-8)
12/4=3 FOR THE SLOPE NOW REPLACE THE X & Y VALUES IN THE LINE EQUATION ALONG WITH THE SLOPE VALUE OF 3 & SOLVE FOR THE Y INTERCEPT(b)
10=3*8+b
10=24+b
b=10-24
b=-14 WHICH IS THE Y INTERCEPT:
THUS THE EQUATION OF THE LINE THROUGH THESE TWO POINTS IS:
Y=3X-14
(graph 300x200 pixels, x from -6 to 5, y from -15 to 10, y = 3x -14).

Answer by mathslover(132) (Show Source):
You can put this solution on YOUR website!
General equation of a straight line is
y=mx + c ......(1)
where m is the slope and c the y-intercept
now slope m =
m=
m=
m=
Since the point (8,10) lies on this line therefore we have

10=3*8 + c Putting the values of (x,y) and m in 1
c=-14
Subsituting the values of m and c in (1) we have
y= 3x -14 the required equation of the line