What is the slope for (3,−1) and (4,7)
2 answers:
To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:
, where y2 and y1 are the y coordinates of the two points and x2 and x1 are the x coordinates of the two points.
Substitute in 7 and -1 for y2 and y1; substitute in 4 and 3 for x2 and x1. Now your expression should look like:
Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.
The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.
The answer is: the slope of the line is 8.
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Answer:
The value of given expression i.e Ф is 90° and - 30°
Step-by-step explanation:
Given as :
4 cos²Ф + 2 sinФ = 2
∵ sin²Ф + cos²Ф = 1 , so , cos²Ф = 1 - sin²Ф
Or, 4 ( 1 - sin²Ф ) + 2 sinФ = 2
Or, 4 - 4 sin²Ф + 2 sinФ = 2
or, 4 sin²Ф - 2 sinФ - 4 + 2 = 0
or, 4 sin²Ф - 2 sinФ - 2 = 0
or, 2 sin²Ф - sinФ - 1 = 0
or, 2 sin²Ф - 2 sinФ + sinФ - 1 = 0
Or, 2 sinФ ( sinФ - 1 ) + 1 ( sinФ - 1 ) = 0
∴ ( sinФ - 1 ) ( 2 sinФ + 1 ) = 0
i.e ( sinФ - 1 ) = 0 And ( 2 sinФ + 1 ) = 0
since ( sinФ - 1 ) = 0
So, sinФ = 1
Or, Ф = = 90°
And ( 2 sinФ + 1 ) = 0
Or, 2 sinФ = - 1
Or, sinФ = -
Or, Ф = = - 30°
Hence the value of given expression i.e Ф is 90° and - 30° Answer