The slope intercept form of the line is given by:

The point-slope form is given by:

Where,
m: slope of the line
b: cutting point with the y axis
(xo, yo): ordered pair that belongs to the line
For line A:
The slope is

The cut point with the y axis is:

Substituting values we have:
For line B:
The slope is given by:

Then, the equation of the line is:
Answer:
Option A
Answer:
FG = 44
EG = 80
Step-by-step explanation:
For FG:
1) 5z - 16 = 3z + 8
2) 5z = 3z + 24
3) 2z = 24
4) z = 12
5) 3(12) + 8 = 44
For EG:
1) 2w + 22 = 4w + 4
2) 2w = 4w - 18
3) -2w = -18
4) w = 9
5) 4(9) + 4 + 2w + 22 = 80
Answer:
-60
Step-by-step explanation:
Factor the problem out using FOIL.
The end result is: −60
−84x+9
The value of coefficent a (the number in front of the x^2) is -60.
Answer:
b
Step-by-step explanation:
when an reflected across the y axis only the x value changes and it changes negatively
Answer:
200 miles
Step-by-step explanation:
First, set up the equations.
plan 1: initial fee of $55.96, $0.12 per mile
plan 2: initial fee of $63.96, $0.08 per mile
We want to know at what distance will the cost be the same. So, set the equations equal to each other.
0.12x + 55.96 = 0.08x + 63.96
Combine the variables.
0.04x + 55.96 = 63.96
Combine the constants.
0.04x = 8
Divide by 0.04 to isolate x.
x = 200 miles
Check by plugging x back into each equation.
y = 0.12(200) + 55.96
y = 24 + 55.96
y = $79.96
y = 0.08(200) + 63.96
y = 16 + 63.96
y = $79.96
You are correct!