Question

On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).

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

x = −6
x = −4
y = −6
y = −4

Answer 1

y = −6

Explanation:

a line named D goes through (-8, 4) and (8, 4) is parallel to the x-axis

then any other line parallel to line D must be parallel to the the x-axis too

then it has an equation of the form : y = a

and since it goes through (−4,−6 ) then its equation is : y= -6

check the image below.

:)

Answer 2

y = - 6

Explanation:

Given the points (- 8, 4 ) and (8, 4 )

Since the y- coordinates are equal, this indicates the line is horizontal and parallel to the x- axis.

The equation of a horizontal line is

y = c

where c is the value of the y- coordinates the line passes through.

A parallel line will therefore be a horizontal line.

The line passes through (- 4, - 6 ) with y- coordinate - 6, thus

Equation of parallel line is y = - 6