Answer:
Both slopes are equal
Explanation:
The general form of a linear function is:
y = mx + c
where m is the slope and c is the y-intercept
We can, thus, note that the slope is constant across the linear function.
Since we are given that the relation between the salary and hours worked is linear, therefore, the slope will be equal between any two points belonging to the function
Verification:
slope can be calculated as follows:
slope = [tex] \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex]
1- In case of (4,30) and (12,90):
slope = slope = [tex] \frac{ 90 - 30 }{ 12 - 4 } [/tex] = 7.5
2- In case of (4,30) and (10,75):
slope = [tex] \frac{ 75 - 30 }{ 10 - 4 } [/tex] = 7.5
Hope this helps :)
