Use the table to answer the question.

Question

x 0 9 18
y 3 6 9
Identify the slope and y -intercept of the line. Provide the most simplified form of the slope.

(1 point)
The slope is
. The y-intercept is (0,
).

Answer 1

The slope can be calculated using the formula:

slope = (change in y) / (change in x)

Using the points (0,3) and (9,6):
slope = (6 - 3) / (9 - 0)
slope = 3 / 9
slope = 1/3

Therefore, the most simplified form of the slope is 1/3.

The y-intercept is the point where the line crosses the y-axis, which is when x=0. From the table, when x=0, y=3. So the y-intercept is at (0,3).

Therefore, the slope is 1/3 and the y-intercept is (0,3).