william earns $9.25 per hour at his part - time job. the linear graph below shows how much he earns for…

william earns $9.25 per hour at his part - time job. the linear graph below shows how much he earns for working different numbers of hours. suppose he gets a raise of $0.60 per hour. what part of the graph would change? the slope the x - intercept the y - intercept the graph would remain the same

william earns $9.25 per hour at his part - time job. the linear graph below shows how much he earns for working different numbers of hours. suppose he gets a raise of $0.60 per hour. what part of the graph would change? the slope the x - intercept the y - intercept the graph would remain the same

Answer

Explanation:

Step1: Recall the linear equation formula

The linear equation for earnings (y) in terms of hours (x) is (y = mx + b), where (m) is the slope (rate of change) and (b) is the (y) - intercept. Initially, (m = 9.25) (since he earns ( $9.25) per hour) and (b = 0) (if he works (0) hours, he earns (0)).

Step2: Analyze the effect of the raise

After the raise, his new rate is (m'=9.25 + 0.60=9.85). The (y) - intercept (b = 0) still (because (y(0)=0) when (x = 0)). The (x) - intercept is also (0) (since (y = 0) when (x = 0)). The slope (m) (which represents the earnings per hour) changes.

Answer:

the slope