Question

Line A (y = x + 2) is transformed into Line B (y=3x+1). Which best describes the new slope and y-intercept?

Answer 1

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.

Explanation:

We proceed to demonstrate the transformation from the line A to line B:

1)
`y = x + 2` Given.

2)
`y = 3\cdot x + 6` Vertical dilation.

3)
`y = 3\cdot x +1` Vertical shift of the line in 5 units in the -y direction/Result

Hence, the answer is:

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.