Find the equation of the line, whose x-intercept = 5 and y-interc… - Vidyadip

Question

Find the equation of the line, whose x-intercept $= 5$ and y-intercept $= 3$

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Answer

When x-intercept $= 5,$ corresponding point on x-axis is $(5, 0)$
When y-intercept $= 3,$ corresponding point on y-axis is $(0, 3).$
Let $(x_1, y_1) = (5, 0)$ and $(x_2, y_2) = (0, 3)$
slope $=\frac{3-0}{0-5}=\frac{-3}{5}$
The required equation is:
$y-y_1=m\left(x-x_1\right)$
$y-0=\frac{-3}{5}(x-5)$
$5 y=-3 x+15$
$3 x+5 y=15$

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