Determine the slope and intercepts for the line 2x+3y=6

slope is -2/3 and y-intercept is 2

Step-by-step explanation:

First, solve for y.

2x + 3y = 6      subtract 2x from both side

3y = 6 - 2x       divide 3 on both side

y = (6 - 2x)/3    simplify

y = 2 - (2/3)x    rearrange the values

y = -(2/3)x + 2

The formula come in the general form of

y = mx + b

where m is the slope and b is the y-intercept.

y = mx + b

y = -(2/3)x + 2

in your case, m=-2/3 and b=2

so the slope is -2/3 and y-intercept is 2

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.