Tag: sequences, functions and graphs

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Questions Related to sequences, functions and graphs

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

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

  1. $x-3y-10=0$
  2. $3x+y-20=0$
  3. $x+2y-40=0$
  4. $3x-y-10=0$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $3x+y-20=0$.


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

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

  1. $\dfrac { 1 }{ 3 } $
  2. $\dfrac { 2 }{ 3 } $

  3. 1
  4. $\dfrac { 4 }{ 3 } $
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The given line 3x + y = 3 has a slope of -3. A perpendicular line must have the negative reciprocal slope, which is 1/3. Using the point-slope form with point (2, 2) gives y - 2 = (1/3)(x - 2), which simplifies to y = (1/3)x + 4/3, making the y-intercept equal to 4/3.