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,
).
To find the slope, we can use the formula:
slope = (change in y) / (change in x)
First, let's calculate the change in y and change in x using the given points (0,3) and (9,9):
Change in y = 9 - 3 = 6
Change in x = 9 - 0 = 9
Now, plug these values into the formula:
slope = 6 / 9 = 2/3
So, the slope is 2/3.
To find the y-intercept, we can use the point (0,3) where the line intersects the y-axis. The y-intercept is the value of y when x=0:
y = mx + b
3 = (2/3)*0 + b
3 = b
So, the y-intercept is (0,3).
Therefore, the slope is 2/3 and the y-intercept is (0,3).