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MHT CET202120 Sep 2021Evening ShiftMathematicsStraight LinesActual

The x -intercept of a line passing through the points ( -1 2 , 1 ) and B(1,3) is

Options

  1. A-1 / 6
  2. B-5 / 4
  3. C1 / 3
  4. D4 / 3

Correct answer

B. -5 / 4

Step-by-step solution

Finding the slope from the given points as: aligned & Slope = y₂-y₁ x₂-x₁ & Slope = 3-1 1- (- 1 2 ) & Slope = 2 1+ 1 2 & Slope = 2 3 2 aligned Slope = 4 3 Now the equation will be: aligned & y=m x+c & y= 4 3 x+c aligned Now substituting the point (1,3) into the above equation as: gathered 3= 4 3 1+c 3- 4 3 =c 5 3 =c gathered So, the equation will be: aligned & y= 4 3 x+c & y= 4 3 x+ 5 3 aligned Now to find the x -intercept substitute y=0 as: y= 4 3 x+ 5 3 0= 4 3 x+ 5 3 gathered undêfined 20 3 2 (20 Sep Shift 2) x=-

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