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Question

A line having slope −74 is passing through the point (4,7), then what is the y-intercept of the line?

A
14
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B
10
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C
5
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D
9
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Solution

The correct option is B 14
Let the equation of the line be y=mx+c where c is the y intercept and m is the slope.
Now it is given that slope is 74.Hence m=74.
Hence, y=7x4+c.
Substituting the point (4,7) in the line gives us 7=7+c or c=14.
Hence, the y intercept is 14.

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