Solving Systems of Linear Equations with No Solution

What is the main characteristic of parallel lines in a system of linear equations?

• They have the same slope but different y-intercepts.

• They have the same y-intercept.

• They intersect at one point.

• They have different slopes.

How can you verify that two lines are parallel using their equations?

• By ensuring they have different slopes.

• By finding their intersection point.

• By converting them to slope-intercept form and comparing slopes.

• By checking if they have the same y-intercept.

In the example given, what is the slope of the line derived from the equation 2x - 3y = 18?

• 3/2

• -3/2

• 2/3

• -2/3

What is the initial height of the first plant in the real-world problem?

• 8 inches

• 6 inches

• 4 inches

• 2 inches

Why will the two plants in the problem never be the same height?

• They are planted in different soils.

• They have the same initial height but different growth rates.

• They have different initial heights and the same growth rate.

• They grow at different rates.