Question 62

At what point does the line 4x - 3y = -6 intercept the y-axis?

Solution

When a line intercepts y-axis at a point, then x-coordinate of that point is 0.

Let the line intercepts y-axis at $$(0,y)$$

Equation of line = $$4x - 3y = -6$$

Putting $$x = 0$$ in above equation, we get :

=> $$(4 \times 0) - 3y = -6$$

=> $$3y = 6$$

=> $$y = \frac{6}{3} = 2$$

$$\therefore$$ The line 4x - 3y = -6 will intercept the y-axis at = (0,2)

=> Ans - (A)

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