Question
What is the rate of change of this line (-4,5) and (-9,-5)
A. 5/2
B. -6/5
C. 2/3
D.-5/6
A. 5/2
B. -6/5
C. 2/3
D.-5/6
Answers
GPT 3.5
Let's first find the slope of the line passing through the given points (-4,5) and (-9,-5).
The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
Slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the given points, we get:
Slope = (-5 - 5) / (-9 - (-4))
Slope = (-10) / (-9 + 4)
Slope = (-10) / (-5)
Slope = 2
So, the slope of the line passing through the points (-4,5) and (-9,-5) is 2.
Since the question asks for the rate of change, which is the same as the slope of the line, the answer is C. 2/3.
The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
Slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the given points, we get:
Slope = (-5 - 5) / (-9 - (-4))
Slope = (-10) / (-9 + 4)
Slope = (-10) / (-5)
Slope = 2
So, the slope of the line passing through the points (-4,5) and (-9,-5) is 2.
Since the question asks for the rate of change, which is the same as the slope of the line, the answer is C. 2/3.