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<h3>Answer: Choice D</h3>
4x - 3y = 15
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Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Here you go! Hope this helps!
Answer:
Step-by-step explanation:
Let be "C" the circumference of the circle (in feet) and "r" the radius of the circle (in feet).
Based on the information provided in the problem, you know that the circumference of the circle is always as large as its radius.
Notice that this indicates a multiplication. Then, this means that the circumference of the circle is always equal to by "r".
Based on this, you can write the following formula that expresses the circumference "C" in terms of the radius "r":