-3,4. 0,3 3,2 6,1
detirmine the rate of change and inital value
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.