Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 5 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 6, - 5) into the partial equation
- 5 = - 8 + c ⇒ c = - 5 + 8 = 3
y = x + 3 ← equation of parallel line
Answer:
1 haircut = 47 dollars
1 colouring = 98 dollars
Step-by-step explanation:
Let be equal to the cost of 1 haircut.
Let be equal to the cost of 1 colouring treatment.
<u>1) Form equations</u>
Equation 1: 3 haircuts + 1 colour = 239 dollars
⇒
Equation 2: 2 haircuts + 1 colour = 192 dollars
⇒
<u>2) Solve the system of equations</u>
Subtract equation 2 from equation 1 to cancel out y (elimination)
-
⇒
Therefore, Natalie charges 47 dollars for 1 haircut.
Plug x back into one of the equations to solve for y
Subtract both sides by 94
Therefore, Natalie charges 98 dollars for 1 colouring treatment.
I hope this helps!