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  1. The value of x, if the slope of the line joining (–8, 11), (2, x) is
    −4
    		will be
    3
    1. −7
      3
    2. 7
      3
    3. 1
      3
    4. 5
      3
Correct Option: A

We know that

Slope of a line =
y2 − y1
x2 − x1

–4
 =
x − 11
32 + 8

⇒ 
–4
 =
x − 11
310

⇒  –40 = 3x – 33
⇒  –40 + 33 = 3x
⇒  –7 = 3x
⇒  x =
–7
3


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