Question

When $y=mx+b$ is plotted, the variable $m$ represents the slope of the line and $b;(b>0)$ represents the $y-$intercept. If the sign of $b$ is reversed, then which of the following is true?

• A. The new line will shifted down $b$ units
• B. The new line will be shifted down $2\times b$ units
• C. The new line will be a perfect reflection across the $x-$axis
• D. The new line will be a perfect reflection across the $y-$axis

Answer 1

Answer: (B)

The new line will be shifted down $2\times b$ units

If the sign of 'b' is reversed without changing the value of m, then the line will shift down (since b>0) by $2b$ units.