The equation of the line passing through those two points is y=0x+1
10-7x=2-8x
We move all terms to the left:
10-7x-(2-8x)=0
We add all the numbers together, and all the variables
-7x-(-8x+2)+10=0
We get rid of parentheses
-7x+8x-2+10=0
We add all the numbers together, and all the variables
x+8=0
We move all terms containing x to the left, all other terms to the right
x=-8
<span>Part A: M = 12x. (x hours at the rate of $12/per hour)
Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per
hour plus y hours at the rate of $15 per hour)
Part C: Let us first find out the amount earned through regular working hours and overtime hours.
Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360
The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10
Total hours worked during the week = 30 + 10 = 40.</span>
