Question

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

Answer 1

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

$2.\\ \\ y= \frac{1}{3}x-3 \\ \\ the \ slope \ m = \frac{1}{3} \ \ and \ y = -3$

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

$4.\\ \\-2x +5y=10\\ \\5y=2x +10 \ \ /:5\\ \\y = \frac{2}{5}x +2\\ \\ the \ slope \ m =\frac{ 2}{5} \ \ and \ y = 2$

$5.\\ \\ 4x-2y-5=0\\ \\-2y =-4x +5 \ \ /:(-2)\\ \\y=2x-\frac{5}{2} \\ \\ the \ slope \ m = 2 \ \ and \ y = -\frac{5}{ 2}$

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

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