write the equation of the line with the given slope and y-intercept ..slope is -2 and a y-intercept of 5
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Answer: y=4
Step-by-step explanation: First of all, we have to know what a consistent and independent system is.
Consistent and independent- If a consistent system has exactly one solution, and is independent, then it's consistent and independent
Let's graph the equation y=3x-2 first. The y intercept of the equation is -2 and the slope of the equation is 3. Lets plot the y intercept first, then use rise/run for the slope. We end off with the image of the first one I have attached to this answer.
Next, we can see if that we draw a straight arrow to one of the points in the equation, we will get a independent and consistent system. I picked y=4, but you can pick almost any point that lies within the line.
This will grant only one solution, which will give us what we need. So let's graph y=4. Finally, we have our consistent and independent system! I've attached another file to support my answer.
So the final answer to your question is y=4, the solution to the system is (2,4), as you can see by the last image.
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