Question

A line having a slope of $\frac{1}{6}$ intersects the x-axis at (-24, 0). At which point does this line intersect the y-axis?

• A. $(0,5)$
• B. $(0,7)$
• C. $(0,4)$
  
• D. $(0,3)$
  

Answer 1

Answer: (C)

$(0,4)$

Let the equation of the Line is $y=mx+c$

The slope of the line is given, $m=\frac{1}{6}$

The line intersects the $x$ - axis at $(-24,0)$

Putting the point in the equation of line, we get, $0=\frac{1}{6}(-24)+c$

Hence $c=4$

The given line intersects the$y$ - axis where the $x$ - coordinate becomes zero, Hence putting $x=0$ in equation of line, we get,

$\Rightarrow y=c=4$

Hence the point will be,

$\Rightarrow (0,4)$