Question

In each of the following cases detemin the slop and the y intercept of the line whose equation is given y=2x+5

2y=4x_5
3x+6y=8
x+y=(x_y)​

Answer 1

Explanation:

y = mx +b

m- Slope ; b - y-intercept

1) y = 2x + 5

Slope = 2

y-intercept = 5

2) 2y = 4x - 5

Divide the equation by 2

`(2y)/(2)=(4x)/(2)-(5)/(2)\\\\y = 2x - (5)/(2)`

Slope = 2

y-intercept =
`(-5)/(2)`

3) 3x + 6y = 8

6y = -3x + 8

`(6y)/(6)=(-3x)/(6)+(8)/(6)\\\\ y = (-1)/(2)x+(4)/(3)\\\`

Slope = -1/2

y-intercept = 4/3