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)

Algebra ->  Coordinate Systems and Linear Equations -> 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)      Log On


   

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) About Me  (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%28+300%2C+200%2C+-6%2C+5%2C+-15%2C+10%2C+y+=+3x+-14%29+ (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, y = 3x -14).

Answer by mathslover(157) About Me  (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 = %28y2-y1%29%2F%28x2-x1%29
m= %2822-10%29%2F%2812-8%29
m=12%2F4
m=3
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