FINDING GRADIENT AND Y-INTERCEPT FROM AN EQUATION

Find the gradient and y intercept of the line with equation :

Problem 1 :

2x + 3y  =  8

Solution :

Given equation is, 2x + 3y  =  8

3y  =  -2x + 8

y  =  (-2x/3) + 8/3

Gradient (m)  =  (-2/3)

y – intercept (b)  =  (8/3) 

Problem 2 :

3x – 7y  =  11

Solution :

Given equation is, 3x – 7y  =  11

-7y  =  -3x + 11

-y  =  (-3x/7) + 11/7

y  =  (3x/7) + 11/7

Gradient (m)  =  3/7

y – intercept (b)  =  11/7

Problem 3 :

6x – 11y  = 4

Solution :

Given equation is, 6x – 11y  = 4

-11y  =  -6x + 4

-y  =  (-6x/11) + 4/11

y  =  6x/11 + 4/11

Gradient (m)  =  6/11

y – intercept (b)  =  4/11

Problem 4 :

5x + 6y =  -1

Solution :

Given equation is, 5x + 6y =  -1

6y  =  -5x – 1

y  =  (-5x/6) – (1/6)

Gradient (m)  =  -5/6

y – intercept (b)  =  -1/6  

Problem 5 :

3x + 6y  =  -1

Solution :

Given equation is, 3x + 6y  =  -1

6y  =  -3x – 1

y  =  (-3x/6) – (1/6)

y  =  (-1x/2) – (1/6)

Gradient (m)  =  -1/2

y – intercept (b)  =  -1/6 

Problem 6 :

15x – 5y  =  17

Solution :

Given equation is, 15x – 5y  =  17

-5y  =  -15x + 17

-y  =  (-15x/5) + 17/5

y  =  (15x/5) + 17/5

y  =  3x + 17/5

Gradient (m)  =  3

y – intercept (b)  =  17/5 

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