Question

Complete the statements using the drop-down menus. The line perpendicular to the y-axis through the point (–4, –2) is . The slope of this line is .

Answer 1

The line perpendicular to the y-axis through the point (-4, -2) is y= -2

The slope of the line is 0

Explanation:

Answer 2

check the picture below.

since the y-axis is a North-South line, the perpendicular to that will be an East-West line, as you see in the picture.

hmmm what's its slope anyway, well, let's pick two points to get it, hmmm we have -4, -2, and let's see from the graph -1,-2 will do.


`\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-(-2)}{-1-(-4)} \\\\\\ \cfrac{-2+2}{-1+4}\implies \cfrac{0}{3}\implies 0`