Question

Express the following equation in the form y=mx+c and identify the gradient:

2y=7x-5
5x-3y=4
10-2x+3y=0​

Answer 1

y = 7/2x - 5/2 ; gradient is 7/2

y = 5/3x - 4/3 ; gradient is 5/3

y = -2/3x - 10/3; gradient is -2/3

Explanation:

2y = 7x-5

1. 2y/2 = (7x - 5)/2
2. y = 7/2x - 5/2

5x - 3y=4

1. (5x-3y) -5x = 4 -5x
2. -3y = -5x + 4
3. -3y/-3 = (-5x+4)/-3
4. y= 5/3x - 4/3

10 - 2x+3y = 0

1. (10-2x+3y) -10 = 0 - 10
2. -2x + 3y = -10
3. (-2x + 3y) + 2x = -10 + 2x
4. 3y = 2x -10
5. 3y/3 = (2x - 10)/3
6. y = 2/3x -10/3

NOTE: The gradient is the slope