Question

Write the equation for the horizontal line passing through (4, -6).

Answer 1

Horizonatal lines go which way? This can show you the way to go with the equation.

Answer 2

horizontal line is a line that is parallel to the x axis or the line y=0.
since parallel lines have same slope, the slope of this line is 0.
\[\frac{y-y _{1}}{x-x_{1}} = m \]
\[\frac{y-(-6)}{x-4}=0\]
\[y+6=0\]
\[y=-6\] is the equation.

Answer 3

OMG thank you so much!

Answer 4

Yes, since horizontal lines never touch x-axis their equations are always y= . That's one way to remember.