Question 198336: Find the equation of the line (in y = mx + b form) that passes through the points
(-8, 6.5) and (9, -11)
Answer by anantha(86)   (Show Source):
You can put this solution on YOUR website! sol:
Equation of the line passing through two given points (x1,y1)and(x2,y2) is
(y-y1)(x2-x1)=(x-x1)(y2-y1)
here the two given points are
(-8,6.5) and(9,-11)
comparing these points with (x1,y1)and(x2,y2)
here x1=-8,y1=6.5,x2=9,y2=-11
substitute these values in the above formula
(y-6.5)(9-(-8))=(x-(-8))(-11-6.5)
(y-6.5)(9+8)=(x+8)(-17.5)
(y-6.5)(17)=(x+8)(-17.5)
17y-110.5=-17.5x-140
17y+17.5x+140-110.5=0
17.5x+17y+29.5=0
17y=-17.5x-29.5
y=-17.5x/17-29.5/17
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