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.

Vedclass · Answer

(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?

Similar Questions

If the graph of the equation $3x + ay = 7$ passes through the point $(3, -1)$,then the value of $a$ is:

$x=5, y=2$ is a solution of which linear equation?

Which one of the following options is true,and why?
$y = 3x + 5$ has
$(i)$ a unique solution,
$(ii)$ only two solutions,
$(iii)$ infinitely many solutions

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$ in each case: $y = x + 5$.

State whether the following statement is true or false:
If $(5, -2)$ is a solution of $5x + 2y = k$,then $k = 0$.

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