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Mathematics

Grade9

Easy

Question

The equation of the line passing through (-3, 4) and (2, 5) is _______.

x - y = 7
y = x + 2
5y = x + 23
3x - 2y = 6

hint Hint:

To find the equation of the line when two coordinates are given we will the formula $y minus y subscript 1 equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction left parenthesis x minus x subscript 1 right parenthesis$ , when the two coordinates are $left parenthesis x subscript 1 comma y subscript 1 right parenthesis space a n d space left parenthesis x subscript 2 comma space y subscript 2 right parenthesis$ .

The correct answer is: 5y = x + 23

The equation of the line passing through (-3, 4) and (2, 5) is
$y minus y subscript 1 equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction left parenthesis x minus x subscript 1 right parenthesis$
$rightwards double arrow y minus 4 equals fraction numerator 5 minus 4 over denominator 2 minus left parenthesis negative 3 right parenthesis end fraction left parenthesis x minus left parenthesis negative 3 right parenthesis right parenthesis rightwards double arrow y minus 4 equals fraction numerator 1 over denominator 2 plus 3 end fraction left parenthesis x plus 3 right parenthesis rightwards double arrow y minus 4 equals 1 fifth left parenthesis x plus 3 right parenthesis rightwards double arrow left parenthesis y minus 4 right parenthesis 5 equals x plus 3 rightwards double arrow 5 y minus 20 equals x plus 3 rightwards double arrow 5 y equals x plus 3 plus 20 rightwards double arrow 5 y equals x plus 23$

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