Tag: sequences, functions and graphs

Questions Related to sequences, functions and graphs

The points (4,0), (0,4), (-4,0), and (0, -4) form

maths sequences, functions and graphs reading graphs describing different situations using equations to plot lines basics of a straight line

  1. a rectangle

  2. a square

  3. a trapezium

  4. none of these

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Correct Option: B
Explanation:

From the diagram the points form a square

Find the equation of the straight line passing through the point $ (6,2)  $ and having slope $ -3 .  $

maths sequences, functions and graphs reading graphs describing different situations using equations to plot lines basics of a straight line

  1. $x-3y-10=0$

  2. $3x+y-20=0$

  3. $x+2y-40=0$

  4. $3x-y-10=0$

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Correct Option: B
Explanation:

Equation of any line is $y=mx+c$


here $m$ is slope of line 


so we have $m=-3$

$y=-3x+c$

Also this line passes through $(6, 2)$

$2=-18+c\Rightarrow c=20$

so equation of line will be $y+3x=20$

or $3x+y-20=0$.


A line passing through (2, 2) is perpendicular to the line $3x+y=3$. Its y intercept is _____________.

maths sequences, functions and graphs reading graphs describing different situations using equations to plot lines basics of a straight line

  1. $\dfrac { 1 }{ 3 } $

  2. $\dfrac { 2 }{ 3 } $

  3. 1

  4. $\dfrac { 4 }{ 3 } $

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Correct Option: A