a graph is proportional, what characteristic does it display?(1 point)

Question

Visualize a blank science classroom with a large chalkboard at the front. On the chalkboard, draw a simplified, wordless representation of a proportional graph, showing a linear relationship between two variables, characterized by equal ratios and a straight line that passes through the origin. Around this environment, place a diverse group of students and a teacher, immersed in a dynamic discussion. The teacher, an East Asian woman, is holding a long pointing stick, directing the focus at the board, while the students, an African male, a Caucasian female and a Hispanic male, explore the concept of proportionality in their textbooks.

a graph is proportional, what characteristic does it display?(1 point)

Answer 1

If a graph is proportional, it displays a linear relationship between two variables.

Answer 2

When a graph is proportional, it displays a constant rate of change.

Answer 3

When a graph is proportional, it displays a linear relationship. In other words, the graph represents a direct mathematical relationship between two variables, where a change in one variable results in a proportional change in the other variable.

To determine if a graph is proportional, you can look for the following characteristic:

1. Constant slope: In a proportional graph, the slope of the line connecting the data points remains constant. The slope represents the rate at which one variable changes with respect to the other. If the slope remains the same throughout the graph, it indicates a proportional relationship.

To find the slope of a line on the graph, you can select two points on the line and calculate the rise (change in the vertical coordinate) divided by the run (change in the horizontal coordinate). If the calculated slope value is constant for all points on the graph, then it is proportional.