Question
A coordinate plane with four quadrants shows the x-axis ranging from negative 7 to 4 in increments of 1, and the y-axis ranging from negative 9 to 8 in increments of 1. An upward line with arrows at both the ends is shown on the plane. The line passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 1.5 comma 0 right parenthesis and the y-axis at left parenthesis 0 comma 3 right parenthesis. The inital value of the function is
the function has a constant rate of change equal to
the function has a constant rate of change equal to
Answers
GPT 3.5
The initial value of the function is y-intercept, which is the point where the line intersects the y-axis, at (0, 3).
To find the constant rate of change, we can use the formula:
Constant rate of change = (y2 - y1) / (x2 - x1)
Let's choose two points on the line: the y-intercept (0, 3) and the point where the line intersects the x-axis (-1.5, 0).
Using the formula, we get:
Constant rate of change = (0 - 3) / (-1.5 - 0) = -3 / -1.5 = 2
Therefore, the constant rate of change of the function is 2.
To find the constant rate of change, we can use the formula:
Constant rate of change = (y2 - y1) / (x2 - x1)
Let's choose two points on the line: the y-intercept (0, 3) and the point where the line intersects the x-axis (-1.5, 0).
Using the formula, we get:
Constant rate of change = (0 - 3) / (-1.5 - 0) = -3 / -1.5 = 2
Therefore, the constant rate of change of the function is 2.