Rearranging the equation into slope-intercept form (y = mx + b) gives y = -2/3x + 4, where the slope (m) is -2/3.

Rearranging the equation to y = -2/3x + 2 shows that the slope is -2/3.

Adding 3 to both sides gives 2x = 10, and dividing by 2 gives x = 5.

Substituting x = 0 into the equation 2(0) + 3y = 6 gives 3y = 6, thus y = 2.

To find the y-intercept, set x = 0. The equation becomes -3y + 6 = 0, leading to y = 2.

To find the y-intercept, set x = 0. The equation becomes -4y + 12 = 0, leading to y = 3.

Rearranging to y = 4x - 8 shows that the y-intercept is -8.

'm' represents the slope of the line in the slope-intercept form of a linear equation.

To find the x-intercept, set y = 0. The equation becomes 0 = -1/2x + 3, leading to x = 6.

Substituting x = 4 into the equation gives y = -1/2(4) + 3 = -2 + 3 = 1.

To find the x-intercept, set y = 0: 0 = -2x + 5, which gives x = 2.5.

'm' in the equation of a line represents the slope, which indicates the steepness and direction of the line.

In the expansion of (x + y)^5, the term x^3y^2 corresponds to the 4th term, calculated using the formula C(5, 2)x^3y^2.

In the term x^4y^2, the sum of the exponents (4 + 2) must equal n, hence n = 6.

The sum of the exponents in the term x^4y^3 is 4 + 3 = 7, hence n must be 7.

To solve for x, subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.

The sum of the exterior angles of any polygon is 360 degrees. Therefore, the number of sides can be calculated as 360 / 30 = 12.

The exterior angle is equal to the sum of the two opposite interior angles. If the exterior angle is 120 degrees, the smallest interior angle can be calculated as 180 - 120 = 60 degrees.

Removing the first sentence would eliminate important context, weakening the argument presented.

Rearranging the sentences in the order of 2, 4, 3, 1 maintains a logical flow, building on the ideas presented before concluding with the initial statement.

The sum of the first n terms of a GP is given by S_n = a(1 - r^n) / (1 - r). Here, S_5 = 7(1 - (1/2)^5) / (1 - 1/2) = 7(1 - 1/32) / (1/2) = 7 * 31/32 * 2 = 14.

The sum of the first n terms of a GP is given by S_n = a(1 - r^n) / (1 - r). Here, S_5 = x(1 - (1/2)^5) / (1 - 1/2) = x(1 - 1/32) / (1/2) = x(31/32) * 2 = x(62/32).

The nth term of a GP is given by a * r^(n-1). Here, the 6th term = x * 3^(6-1) = x * 3^5.

The sum of the first n terms of a GP is given by S_n = a(1 - r^n) / (1 - r). Here, S_5 = 10(1 - 0.5^5) / (1 - 0.5) = 10(1 - 0.03125) / 0.5 = 10 * 0.96875 / 0.5 = 19.375, which rounds to 20.

Let the common ratio be r. The sum is 10 + 10r + 10r^2 = 70. Simplifying gives r^2 + r - 6 = 0, which factors to (r - 2)(r + 3) = 0, thus r = 2.

The first three terms are 4, 4/3, and 4/9. Their sum is 4 + 4/3 + 4/9 = 4 + 1.33 + 0.44 = 5.77.

The first three terms are 4, 12, and 36. Their product = 4 * 12 * 36 = 1728.

The 6th term is given by 7 * 3^(6-1) = 7 * 243 = 1701.

The nth term of a GP is given by a * r^(n-1). Thus, the 4th term is x * y^(4-1) = xy^3.

The first term is 1, and the second term's reciprocal will be 1 + 1 = 2, so the second term is 1/2.