Question

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

c. y = −6

Explanation:

HOPE THIS HELPS!!!!

Answer 2

Answer: The correct option is (C)
`y=-6.`

Step-by-step explanation: We are given to find the equation of the line that is parallel to the given line in the graph and passes through the point (−4,−6 ).

We can see from the graph that

the line passes through the points (-8, 4) and (8, 4). So, the slope of the graphed line is

`m=(4-4)/(8-(-8))\\\\\\\Rightarrow m=(0)/(16)\\\\\Rightarrow m=0.`

The line parallel to the graphed line will also have slope m = 0 because parallel lines have same slopes.

Since the new line passes through the point (-4, -6), so its equation will be

`y-(-6)=m(x-(-4))\\\\\Rightarrow y+6=0(x+4)\\\\\Rightarrow y+6=0\\\\\Rightarrow y=-6.`

Thus, the required equation of the line is
`y=-6.`

Option (C) is CORRECT.