What is the equation of a line with slope of 3 and a y-intercept of 12?
1 answer:
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Answer:
False
Step-by-step explanation:
Given that a high school reports that its students' SAT scores were down by 12% in one year. The next year, however, the test scores rose by 20%.
Let score initially be 100
Down by 12
Next year score 88
For succeedingyear
increase is 20% =
Score in the 2nd year =
Hence overall scores improvement is 5.6% and not 8%
1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: .