Question

Find the point at which line 4x-3y-5=0 meets y axis

Answer 1

$\textbf{To find:}$

$\text{The point where the line 4x-3y-5=0 meets y axis}$

$\textbf{Solution:}$

$\text{Consider the line 4x-3y-5=0}$

$\text{We know that,}$

$\text{y axis itself is a line and its equation is x=0}$

$\text{We solve the equations, x=0 and 4x-3y-5=0}$

$\text{to find their point of intersection}$

$x=0$.........(1)

$4x-3y-5=0$......(2)

$\text{Using (1) in (2), we get}$

$4(0)-3y-5=0$

$-3y-5=0$

$-3y=5$

$\implies\bf\,y=\dfrac{-5}{3}$

$\therefore\textbf{The given line meets y axis at \bf(0,\dfrac{-5}{3}) }$

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