Question

How have the lines been transformed? Line B is ___, ___, and shifted ___.

Answer 1

A line is said to be flat when it has a small slope, while a line is said to be steep when it has a large slope.

Let's find the slope of both lines.

Apply the slope formula:

`m=(y2-y1)/(x2-x1)`

• Slope of line A

Take the points:

(x1, y1) ==> (-1, 1)

(x2, y2) ==> (-2, 4)

`m=(4-1)/(-2-(-1))=(4-1)/(-2+1)=(3)/(-1)=-3`

• Slope of line B

Take the points:

(x1, y1) ==> (4, -1)

(x2, y2) ==> (0, -1)

`m=(-1-(-1))/(4-0)=(-1+1)/(4-0)=(0)/(4)=0`

The slope of line A is -3( negative slope)

The slope of line B is 0

The greater the slope, the steeper the line.

• Since line B has a greater slope than line A, we can say it is steeper.

,

• Also since Line B is a horizontal line, it is flatter than line A

,

• The slope of a horizontal line is greater than the slope of a line with a neagtive slope, we can say that line B shifted upward

Thus, we can say:

Line B is flatter, horizontal and shifted upward

ANSWER:

Line B is flatter, horizontal, and shifted upward