What is the equation of the line that is perpendicular to y = -2/3x + 4 and that passes through (–2,–2)?
1 answer:
Answer: y = 3/2x + 1
Step-by-step explanation: For a perpendicular line, take the reciprocal of "m" and reverse the sign.
- 2/3 becomes +3/2
Then substitute the y and x values of the given coordinate into the equation and solve for "b"
y = mx + b
-2 = 3/2(-2) + b
-2 = -3 + b
-2 +3 = b
+1 = b Substitute for b in y = (3/2)x + 1
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Answer:
Step-by-step explanation:
Let number of pounds of cans collected by Amy =
Let number of pounds of cans collected by Bruce =
Let number of pounds of cans collected by Carlos =
As per question statement, total number of cans collected = 168
..... (1)
Number of pounds collected by Bruce is rd of the pounds of cans collected by Carlos.
Number of pounds collected by Amy is equal to number of pounds collected by Bruce and Carlos combined.
Using equation (2):
Using equations (2) and (3) in equation (1), we get:
Using equation (2):