Question

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

Answer 1

y= -6  is the answer. hope this helps. ;)

Answer 2

The equation of required line is y=-6.

Explanation:

The given line is a horizontal line and the slope of a horizontal line is always zero.

Slopes of two parallel lines are same.

Since the required line is parallel to the given line, therefore the slope of the required line is 0.

It is given that the required line passes through the point (-4,-6).

The point slope form of a line is

`y-y_1=m(x-x_1)`

Where, m is the slope.

Substitute m=0, y1=-6 and x1=-4 in the above equation.

`y-(-6)=0(x-(-4))`

`y+6=0`

Subtract 6 from both the sides.

`y=-6`

Therefore the equation of required line is y=-6.