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Question
Find the equations of the line through (1, 3) and making an intercept of 5 on the y-axis.
Solution
Since, y-intercept = 5, so the corresponding point on y-axis is (0, 5).
The line passes through (1, 3).
∴ Slope of the line = `(5 - 3)/(0 - 1) = 2/(-1) = -2`
Required equation of the line is given by:
y − y1 = m(x − x1)
y − 5 = −2(x − 0)
y − 5 = −2x
2x + y = 5
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