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What is the equation of the line that passes through (-3, 6) and has a slope of -2?
First, we need to write the equation of the line in point-slope form:-
Replace y1 with 6, m with -2, and x1 with -3:-
On simplification,
On further simplification,
Add 6 on both sides:-
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Whenever you want to write the equation of a parallel line through some point (h, k), you can ...
Using this formula here, we get
... 2(y +5) = 3(x -2)
Your answer form requires you solve this for y.
... 2y + 10 = 3x -6 . . . . . eliminate parentheses
... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)
... y = (3/2)x -8 . . . . . . divide by 2
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (
), measured in inches per feet, is equivalent to the following rational number:
We can convert each length by dividing it by scale factor. That is:
Length
Width
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.