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Question

Find the slope and y-intercept of the line :

(i) y = 4                               (ii) ax - by = 0                                

(iii) 3x - 4y = 5


Solution

(i) y = 4

Comparing this equation with y = mx + c, we have:

Slope = m = 0

y-intercept = c = 4

(ii) ax - by = 0  by = ax  y = a over b x

Comparing this equation with y = mx + c, we have:

Slope = m = a over b

y-intercept = c = 0

(iii) 3x - 4y = 5 
4 y equals 3 x minus 5 y equals 3 over 4 x minus 5 over 4

Comparing this equation with y = mx + c, we have:

Slope = m = 3 over 4

y-intercept = c = fraction numerator negative 5 over denominator 4 end fraction


Mathematics
Concise Mathematics
Standard X

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