A line with a slope of – 1 2 passes through the point ( – 6, – 6). What is its equation in point-slope form?

b. The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up

Option b is right.

Step-by-step explanation:

Given that linear function f(x)=x is graphed on a coordinate plane.

The graph of a new line is formed by changing the slope of the original line to 2/3 and the y-intercept to 4.

The original slope was 1. Now changed to 2/3 i.e. slope is reduced. Hence the new line will be less steeper.

Also original line y =x has y intercept at the origin.

By changing y intercept to 4, we changed y intercept to upwards by 4 units.

Thus there is a vertical shift of 4 units.

b. The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up

Option b is right.