Which of the following equations represents a line that is parallel to y=-4x-1
and passes through the point, (2, 2)?
a. y = -4x- 6
b. y = -x+2
c. y=-4x +10
d. y = -4x+4

Option C : y = -4x+10

Step-by-step explanation:

Given equation of line is:

Comparing it with standard form

y=mx+b

m = -4

As the slopes of parallel lines are equal, the slop of other line will also be -4.

Now, to find the value of b

Putting the values of b and m in standard form

Hence,

Option C is the correct answer ..

For this case we have that the equation of a line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut point with the y axis.

By definition, if two straight lines are parallel then their slopes are equal.

So, if we have:

A parallel line has slope

y = -4x + b

We substitute the point (2,2) to find "b":

Finally we have:

Option C