These two graphs have the same slope (3), and are therefore parallel. Parallel lines never intersect each other.
The lines intersect at (-1.8,-4.4)
Answer: so your sister sends 14 messages a day
Step-by-step explanation: you send about twelve texts a day and as a total you both send 26 so lets let your sister be x and you are 12
26- 12=x
26-12= 14
I hope this was helpful!
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Add 3 on both sides of the equation
3x=0
divide 3 on both sides of the equation
x=0