To determine the initial value and rate of change of the linear function, we can use the formula for the slope of a line, which is given by:
m = (y2 - y1) / (x2 - x1)
Taking the points (0,3) and (-3,4):
m = (3 - 4) / (0 - (-3))
m = -1 / 3
So the rate of change (or slope) of the linear function is -1/3.
Now we can use the point-slope form of a linear equation to find the initial value:
y - y1 = m(x - x1)
Using the point (0,3) and the rate of change -1/3:
y - 3 = (-1/3)(x - 0)
y - 3 = -1/3x
To simplify, we can rewrite the equation in slope-intercept form (y = mx + b):
y = -1/3x + 3
Therefore, the initial value of the linear function is 3.
Determine the initial value and the racte of change of the linear function as given in the graph. Round the answer to three decimal places as needed. (1 point)
(-3,4) (0,3) (3,2) (6,1)
3 answers
what is the rate of change
The rate of change of the linear function is -1/3.