What is the probability that a point chosen at random in the rectangle is also in the blue triangle?
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0)
- Parallel lines always have the same slopes
<u>1) Determine the slope (m)</u>
The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (2,4) to solve for b
Add 4 to both sides to isolate b
Therefore, the y-intercept of the line is 8. Plug this back into :
I hope this helps!