Consider the equation, -2x + 3y = 6. Identify the slope.

2/3

Step-by-step explanation: To identify the slope of this line, we first need to convert this equation to slope-intercept form.

In slope-intercept or y = mx + b form, the y

is by itself on the left side of the equation.

So our first task in this problem is to get y by itself

on the left side of the equation and we do that by

first adding 2x to both sides to get 3y = 2x + 6.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get y by itself we would

divide both sides by 3 to get y = 2/3x + 2.

Now in y = mx + b form, the slope is coefficient of the x term.

So we can see that the slope of this line is 2/3.

repeat the question

step-by-step explanation:

correct answer is infinitely many solutions

step-by-step explanation:

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

solving the above equation:

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

combining like terms

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

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions