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For Each of the Equation Given Below, Find the Slope and the Y-intercept: X= 5y - 4 - Mathematics

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Question

For the equation given below, find the slope and the y-intercept:
x= 5y - 4

Sum

Solution 1

Equation of any straight line in the form y = mx + c, where slope = m(co-efficient of x) and y-intercept = c(constant term)
x= 5y - 4

x= 5y - 4
5y = x + 4
y = `(x + 4)/(5)`
y = `(1)/(5) x + (4)/(5)`
Therefore,
slope = co-efficient of x = `(1)/(5)`
y-intercept = constant term = `(4)/(5)`

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Solution 2

Equation of any straight line in the form y = mx + c, where slope = m(co-efficient of x) and y-intercept = c(constant term)
x = 5y - 4

x = 5y - 4

5y = x + 4

y = `(x + 4)/(5)`

y = `(1)/(5) x + (4)/(5)`
Therefore,

slope = co-efficient of x = `(1)/(5)`

y-intercept = constant term = `(4)/(5)`.

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Y-intercept
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Chapter 26: Co-ordinate Geometry - Exercise 26 (C) [Page 323]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 26 Co-ordinate Geometry
Exercise 26 (C) | Q 6.4 | Page 323
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