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Mathematics

Grade9

Easy

Question

What is the equation of the line shown?

$y = \frac{6}{5} x + \frac{3}{5}$
$y = \frac{- 6}{5} x + \frac{3}{5}$
$y = \frac{6}{5} x - \frac{3}{5}$
$y = \frac{- 6}{5} x - \frac{3}{5}$

hint Hint:

In this question, we have to find the equation of the line if the points of the line are given (-3,3) and (2,-3). As we know that the equation of the line when two points are given is $y minus y subscript 1 equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction left parenthesis x minus x subscript 1 right parenthesis$ . So, by putting the value of the ( $x subscript 1 comma y subscript 1 right parenthesis space a n d space left parenthesis x subscript 2 comma y subscript 2$ ) we can get the required equation of the line.

The correct answer is: $y equals fraction numerator negative 6 over denominator 5 end fraction x minus 3 over 5$

Given the line passes through the points (-3,3) and (2,-3)
so equation= $y minus y subscript 1 equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction left parenthesis x minus x subscript 1 right parenthesis$
$rightwards double arrow y minus 3 equals fraction numerator negative 3 minus 3 over denominator 2 minus left parenthesis negative 3 right parenthesis end fraction left parenthesis x minus left parenthesis negative 3 right parenthesis right parenthesis rightwards double arrow y minus 3 equals fraction numerator negative 6 over denominator 5 end fraction left parenthesis x plus 3 right parenthesis rightwards double arrow y equals fraction numerator negative 6 over denominator 5 end fraction x minus 18 over 5 plus 3 rightwards double arrow y equals fraction numerator negative 6 over denominator 5 end fraction x minus 3 over 5$

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