Mathematics
Grade9
Easy

Question

Find the unknown coordinate so the line through the points left parenthesis negative 3 comma 2 right parenthesis comma left parenthesis x comma space 0 right parenthesis has a slop 1 third.

  1. 6
  2. -5
  3. 3
  4. -9

hintHint:

In the given question slope of a line is given where one of the coordinate has a missing number. To find the missing number we will first use the formula fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
 and with the equation obtained we will get the required value while equating with the given slope.

The correct answer is: -9


    APQ, Slope of the line through the points left parenthesis negative 3 comma 2 right parenthesis comma left parenthesis x comma space 0 right parenthesis = 1 third.
    We know that slope of line = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
.
    So,
    rightwards double arrow fraction numerator 0 minus 2 over denominator x minus left parenthesis negative 3 right parenthesis end fraction equals 1 third
rightwards double arrow fraction numerator negative 2 over denominator x plus 3 end fraction equals 1 third
rightwards double arrow negative 2 cross times 3 equals 1 cross times left parenthesis x plus 3 right parenthesis
rightwards double arrow negative 6 equals x plus 3
rightwards double arrow x equals negative 6 minus 3
rightwards double arrow x equals negative 9

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