To determine the rate of change, we need to find the slope of the line connecting two points. The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Let's find the rate of change between the first two points: (-3,4) and (0,3).
m = (3 - 4) / (0 - (-3))
m = -1 / 3
Therefore, the rate of change is -1/3.
To find the initial value, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the first point (-3,4) and the slope -1/3, we have:
y - 4 = (-1/3)(x - (-3))
y - 4 = (-1/3)(x + 3)
To find the initial value (y-intercept), we need to solve for y when x = 0:
y - 4 = (-1/3)(0 + 3)
y - 4 = (-1/3)(3)
y - 4 = -1
Therefore, the initial value is y = 3.
In summary, the rate of change is -1/3 and the initial value is 3.
-3,4. 0,3 3,2 6,1
detirmine the rate of change and inital value
1 answer