Question

Write the equation of the line that passes through the point (-4, -2) and is parallel to the liney = 1/4x + 3A) y = 1/4x − 3B) y = − 1/4x + 1C) y = 1/4x - 1D) y = - 1/4x - 1

Answer 1

Step-by-step explanation

Since we have the point (x,y)=(-4, -2), and the line is parallel, the value of the slope is the same than the given line.

The equation of the line will be as follows:

y = 1/4x + b

Where b is the y-intercept of the parallel line.

We can get the value of b by plugging in (x,y)=(-4, -2) into the equation y = 1/4x + b, as shown as follows:

`-2=(1)/(4)\cdot(-4)+b`

Multiplying numbers:

`-2=-1+b`

Adding +1 to both sides:

-2 + 1 = b

Switching sides:

b = -2 + 1

Subtracting numbers:

b = -1

Plugging in b=-1 into the equation y = 1/4x + b

y = 1/4x + -1

In conclusion, the solution is the OPTION C