Question

Use the table to answer the 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)

Answer 1

To find the slope, we can calculate the change in y divided by the change in x between any two points on the line.

Let's use the points (0, 3) and (9, 6) to find the slope:
Change in y: 6 - 3 = 3
Change in x: 9 - 0 = 9

Now, we can calculate the slope:
slope = change in y / change in x
slope = 3 / 9
slope = 1/3

So, the slope of the line is 1/3.

To find the y-intercept, we can take one of the points given, for example (0, 3), and substitute it into the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

Using the point (0, 3):
3 = (1/3)(0) + b
3 = 0 + b
b = 3

Therefore, the y-intercept of the line is 3.

In conclusion, the slope of the line is 1/3 and the y-intercept is 3.