Answer:
y = x - 2
Step-by-step explanation:
The equation of a line can be known as y = mx + b, with m being the slope and b being the y intercept.
1. Find the Slope
The slope can be known as the change in y/change in x.
Two points: (2,0), (0,-2)
-2 - 0/ 0 - 2 = -2/-2 = 1
Slope is 1
So now we can replace the m as 1. So that is y = x + b
2. Find the y intercept
The y intercept is -2 because that is the point where the line meets the y axis.
So our equation is y = x-2
Answer:
15.85
Step-by-step explanation:
P + 3.89 = 19.74
Subtract 3.89 from both sides to isolate the variable.
P = 15.85
Answer:
Line 1 to Line 2: Distributive Property
Line 2 to Line 3: Commutative Property of Multiplication
Line 3 to Line 4: Associative Property of Multiplication
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
Let's express number of hours required for servicing as: x
The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car.
This is expressed mathematically as:
$15 + $10 × x
= 15 + 10x
The auto repair shop on Second Avenue charges no flat fee but $15 an hour for servicing a car
This is expressed as:
$15 × x
= 15x
The number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at both shops is calculated as:
Charges by Auto repair shop on First street = Charges by Auto repair shop on Second Avenue
15 + 10x = 15x
15 = 15x - 10x
15 = 5x
5x = 15
x = 15/5
x = 3 hours
Therefore, the number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at either auto repair shops is 3 hours
