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प्रश्न
The line through P(5, 3) intersects y-axis at Q.
(1) Write the slope of the line.
(2) Write the equation of the line.
(3) Find the coordinates of Q.
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उत्तर
1) Since the line make 45o with the positive direction of x-axis,
Therefore slope (m) = tan 45° = 1
2) An equation of a line, using point-slope is
`y - y_1 = m(x - x_1)`
`=> y - 3 = 1 (x - 5)`
`=> y - 3 = x - 5`
`=> y = x - 2`
3) Since Q is a point on y-axis, its x-coordinate is zero.
Putting x = 0 in the equation of line, we get y = –2
Hence the point Q is (0, –2).
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