Answer:
y-5 = -6(x+3) OR y = -6x-13
Step-by-step explanation:
Let's use slope-intercept form to solve this problem.
Slope intercept form is the following:
y-y1 = m(x-x1)
x1 and y1 are given by the point in the problem.
x1 = -3, y1 = 5.
m is given by the equation in the problem. Lines that are parallel have the same slope. Thus,
m = -6.
If we plug these values into the equation for slope intercept form, we get the following:
y-5 = -6(x-(-3)) which becomes y-5 = -6(x+3)
This is an acceptable answer to the problem. However, point-slope form is also a way it can be written.
y-5 = -6x-18
y = -6x-13
Answer:
y = 36x
Step-by-step explanation:
Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x =
, y = 12, then
k =
=
= 12 × 3 = 36
y = 36x ← equation of variation
Answer:

Step-by-step explanation:
-------------------------
Given:

---------->>>>
Combine like terms.

---------->>>>
Add 12 to both sides.

---------->>>>
Divide both sides by 9.

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Hope this is helpful.
For time-speed-distance problems, you use the relationship
.. speed = distance/time
in any of its various forms.
The distance traveled at A mph is
.. distance = speed * time
.. distance = A*3
The time required for the rest of the journey is
.. time = distance / speed
.. time = (C -3A)/B
The the total time required to travel C miles is the 3 hours for the first part plus the time for the rest of the journey.
.. total journey time = 3 + (C -3A)B . . . . . hours
Answer:
y= 5 x= 2
Step-by-step explanation:
-3x+5y=2x+3y
5y=5x+3y
2y=5x