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Find the Equation of a Line with Slope 1 and Cutting off an Intercept of 5 Units on Y-axis. - Mathematics

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Question

Find the equation of a line with slope 1 and cutting off an intercept of 5 units on Y-axis.

Sum

Solution

We have
Slope of the line m = 1
and Y-intercept, c = 5 units
The equation of line is given by
y = mx + c
i.e., y = 1.x + 5
⇒ y = x + 5
or x - y + 5 = 0.

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Equation of a Line
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Chapter 11: Coordinate Geometry - Determine the Following

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ICSE Mathematics [English] Class 10
Chapter 11 Coordinate Geometry
Determine the Following | Q 7
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