What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

Step-by-step explanation:

if m is the slope of given line.

Then eq. of parallel line through (-4,-6) is

y+6=m(x+4)

y=-6

Step-by-step explanation:

The line shown is a horizontal line through the y-axis and has the equation y=4. A parallel line to it is a line that does not cross it. It will also have the form y=a where a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.