Which of the following could be the graph of 3x + 4y = 12?
1 answer:
Answer:
A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)
Step-by-step explanation:
Hello!
To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b
To get our equation to look like that we have to get y by itself
3x + 4y = 12
Subtract 3x from both sides
4y = -3x + 12
Divide both sides by 4
We now know the y-intercept is (0, 3)
Now we follow the slope to give us more points
More points are (4, 0), (8, -3), and (-4, 6)
The answer would be a graph that goes through those points.
Hope this helps!
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All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.
As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.
Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.
Here is an attached image of the same with angles marked on it.
Alternate Interior Angles: ∠ = ∠
and ∠
=∠
Alternate Exterior Angles: ∠=∠
and ∠
=∠
Corresponding Angles: ∠=∠
, ∠
=∠
, ∠
=∠
and ∠
=∠
Consecutive Interior Angles: ∠=∠
and ∠
=∠
- Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
- Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.
To learn more about Transversal Line click on the link given below:
#SPJ1
