Question

How do I Find the slope and Y intercept of each equation:

1. Y= 2x +1
2. Y= 1/3x _3
3. Y=_2x + 1
4. _2x +5y=10
5. 4x _2y _5=0
6. Y= _4x _3
7. 3x_ 5y=20

Answer 1

`1.\\ \\ the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\y=2x+1 \\ \\ the \ slope \ (the multiplier \ of \ x \ represented \ by \ m ) \ is \ 2 \\ \\ and \ the \ y-intercept \ (the constantrepresented \ by \ b \ ) \ is \ 1`


`2.\\ \\ y= (1)/(3)x-3 \\ \\ the \ slope \ m = (1)/(3) \ \ and \ y = -3`


`3.\\ \\ y= -2x + 1\\ \\ the \ slope \ m = -2 \ \ and \ y = 1`


`4.\\ \\-2x +5y=10\\ \\5y=2x +10 \ \ /:5\\ \\y = (2)/(5)x +2\\ \\ the \ slope \ m =( 2)/(5) \ \ and \ y = 2`


`5.\\ \\ 4x-2y-5=0\\ \\-2y =-4x +5 \ \ /:(-2)\\ \\y=2x-(5)/(2) \\ \\ the \ slope \ m = 2 \ \ and \ y = -(5)/( 2)`


`6.\\ \\ y=-4x-3 \\ \\ the \ slope \ m =-4 \ \ and \ y = -3`


`7.\\ \\3x-5y=20\\ \\-5y=-3x +20 \ \ / :(-5) \\ \\ y= (3)/(5)x - 4\\ \\ the \ slope \ m = (3)/(5) \ \ and \ y = -4`