Question

1 Point

Which of the following equations represents a line that is parallel to y = 5% - 4
and passes through the point, (3, 4)?
o
O A. y = 5x + 19
B. y = 5% -11
O C. y = 5x -7
OD. y = -x-4

Answer 1

Answer: Option B

`y=5x-11`

Explanation:

The equation of a line has the following form:

`y=mx+b`

Where m is the slope of the line and b is the intersection with the y axis

So the slope of the line
`y = 5x - 4` is
`m = 5`

By definition if two lines are parallel then they will have the same slope. Therefore the line parallel to
`y = 5x - 4` will have the same slope:

`y=5x+b`

To find b we substitute point (3, 4) in the equation and solve for b

`4=5(3)+b`

`4=15+b`

`b=4-15\\b=-11`

Then the equation is:

`y=5x-11`