Answer:
1) (2,4)
2) (5,-2)
Step-by-step explanation:
those are the points at which the lines cross making them the solutions to the equations
Answer:
always
Step-by-step explanation:
Answer:
60 minutes
Step-by-step explanation:
Let the number of minutes be represented as x
For Plan A
Plan A charges $35 plus $0.25 per minute for calls.
$35 + $0.25 × x
35 + 0.25x
For Plan B
Plan B charges $20 plus $0.50 per minute for calls.
$20 + $0.50 × x
20 + 0.50x
For what number of minutes do both plans cost the same amount?
This is calculated by equating Plan A to Plan B
Plan A = Plan B
35 + 0.25x = 20 + 0.50x
Collect like terms
35 - 20 = 0.50x - 0.25x
15 = 0.25x
x = 15/0.25
x = 60 minutes.
Hence, the number of minutes that both plans cost the same amount is 60 minutes
13x + 13 + 2x = 2
15x + 13 = 2
15x = -11
Find the slope:
y₂ - y₁ / x₂ - x₁
-1 - 2 / 0 - 4
-3 / -4
3/4
y = mx + b
y = 3/4x + b
Substitute any of the point's coordinate in the equation.
I'll pick (0,-1)
y = 3/4x + b
-1 = 3/4(0) + b
-1 = 0 + b
-1 = b
y-intercept = -1
y-intercept Equation:
y = 3/4x - 1
Point-slope form:
y - 2 = 3/4(x - 4)
Standard form:
-3/4x + y = -1