Give the equations of two lines passing throu | vedclass

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(A) The point $(2, 14)$ means $x = 2$ and $y = 14$.To find equations of lines passing through this point,we can use the form $ax + by = c$ such that $

Vedclass · Accepted Answer

x + y = $16$,7x - y = $0$; Infinitely many; Through a point,infinite lines can pass.

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(A) The point $(2, 14)$ means $x = 2$ and $y = 14$.To find equations of lines passing through this point,we can use the form $ax + by = c$ such that $a(2) + b(14) = c$.$(i)$ If we take $a=1, b=1$,then $1(2) + 1(14) = 16$. So,$x + y = 16$ is one such equation.$(ii)$ If we take $a=7, b=-1$,then $7(2) - 1(14) = 14 - 14 = 0$. So,$7x - y = 0$ is another such equation.There are infinitely many such lines because an infinite number of lines can pass through a single point in a plane.

Give the equations of two lines passing through $(2, 14)$. How many more such lines are there,and why?

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