Consider the function: y = 8 − 2x.
Question 1
What is the effect on the graph for the given function if the slope of the function is changed to −10?
Responses
A The line shifts up.The line shifts up.
B The line shifts down.The line shifts down.
C The line is more steep.The line is more steep.
D The line is less steep.The line is less steep.
Question 2
What is the effect on the graph for the given function if the y-intercept of the function is changed to a smaller positive number?
Responses
A The line shifts up.The line shifts up.
B The line shifts down.The line shifts down.
C The line is more steep.The line is more steep.
D The line is less steep.
Question 1: C - The line is more steep.
Changing the slope of a line will affect its steepness. A negative slope (-10) means that the line will decrease at a faster rate compared to the original slope (-2). Therefore, the line will be more steep.
Question 2: D - The line is less steep.
Changing the y-intercept will not affect the steepness of the line. It will only shift the line up or down along the y-axis. Therefore, the line will remain at the same steepness, but will shift vertically.