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

$y=5x-11$

Step-by-step 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:

$y=5x-11$