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Question

A line has a slope of 34 and passes through the point (−12,−39). At which point does this line intersect the x-axis?

A
(40,0)
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B
(10,0)
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C
(40,0)
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D
(20,0)
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Solution

The correct option is A (40,0)
Let the equation of the line is y=mx+c

The slope of the line is given m=34

Also the line passes through the point (12,39)

Putting the point in the equation of line, we get,

39=34(12)+c

c=30

Hence the equation of the line becomes y=34x30

The line intersects the x axis where the y coordinate is zero.

Putting y=0 in equation of the line, we get, x=40

Hence the line cuts the x axis at (40,0)

Correct option is A.

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