Question 95

A line cuts the x-axis at the point (-3,0) and the y-axis at the point (0,6). What is the equation of the line?

Solution

A line which intercept x-axis at $$(-3,0)$$ and y-axis at $$(0,6)$$

=> Slope, $$m = \frac{6-0}{0+3} = \frac{6}{3} = 2$$

Equation of line passing thorough points $$(x_1 , y_1)$$ and slope $$m$$ = $$(y - y_1) = m (x - x_1)$$

=> Equation of line = $$(y - 0) = 2 (x + 3)$$

=> $$y = 2x + 6$$

=> Ans - (D)

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