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Mathematics

Find the slope and y-intercept of the line :

(i) y = 4

(ii) ax - by = 0

(iii) 3x - 4y = 5

Straight Line Eq

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Answer

(i) Given,

y = 4

Comparing it with y = mx + c, we get,

m = 0 and c = 4.

Hence, slope = 0 and y-intercept = 4.

(ii) Given,

⇒ ax - by = 0

⇒ by = ax

⇒ y = ab\dfrac{a}{b}x

Comparing it with y = mx + c, we get,

m = ab\dfrac{a}{b} and c = 0.

Hence, slope = ab\dfrac{a}{b} and y-intercept = 0.

(iii) Given,

⇒ 3x - 4y = 5

⇒ 4y = 3x - 5

⇒ y = 34x54\dfrac{3}{4}x - \dfrac{5}{4}

Comparing it with y = mx + c, we get,

m = 34\dfrac{3}{4} and c = 54-\dfrac{5}{4}.

Hence, slope = 34\dfrac{3}{4} and y-intercept = 54-\dfrac{5}{4}.

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