$x$ $y$
$- 2$ $5$
$- \frac{4}{3}$ $4$
$- \frac{2}{3}$ $3$
Find the equation of line representing the above coordinates.

y = x - 4

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y = - 1.5 x + 2

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y = 2 x + 2

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y = 3 x - 3

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Solution

The correct option is B $y = - 1.5 x + 2$
The slope of the line is given by $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{4 - 5}{\frac{- 4}{3} - (- 2)} = \frac{- 1}{\frac{2}{3}} = \frac{- 3}{2} = - 1.5$ .
Hence, the equation of the line in slope intercept form will be $y = - 1.5 x + c$ .
Now the line passes through $(- 2, 5)$ .
Substituting the point in the line gives us the value of ' $c$ ' as $5 = - 1.5 (\times - 2) + c$ or $c = 2$ .
Hence, the equation of the line is $y = - 1.5 x + 2$ .

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xy−2 5−434−233Find the equation of line representing the above coordinates.

$x$ $y$
$- 2$ $5$
$- \frac{4}{3}$ $4$
$- \frac{2}{3}$ $3$
Find the equation of line representing the above coordinates.