Question

When the x-axis and y-axis have different units of measure the slope can be interpreted as a?

Answer 1

Rate (or rate of change)

Further explanation

This is part of a linear equation in two variables.

• Recall the equation $\boxed{ \ y = mx + c \ }$ is called a linear equation in two variables. The graph of this equation in two variables x and y is a straight line.
• $\boxed{ \ y = mx + c \ }$ is called the slope-intercept form of the equation of a line, where m is the slope and the y-intercept is (0, c).

In any subject, the slope (or the gradient) of a line can be interpreted as either ratio or rate.

• When the x-axis and y-axis have the same units of measure, the slope can be interpreted as a ratio, because the slope has no units.  For example, the ratio of the amount of money owned by two people, or the scale on the map.
• When the x-axis and y-axis have different units of measure, the slope can be interpreted as a rate or rate of change. For example, the rate of change in distance to travel time or speed.

Learn more

1. Determine the equation represents a line that passes through a point and has a slope brainly.com/question/4819659
2. Determine in the slope-intercept form, that is parallel to the given line and passes through a point  brainly.com/question/1473992  
3. Determine an equation represents Nolan’s line brainly.com/question/2657284

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Answer 2

The slope is generally the change of y coordinates to the change of the x coordinates. For example, if you're going to graph the velocity vs time graph, your slope will be the change of velocity over the change of time. The units of measurement are not the same because velocity is in meter per second while time is in seconds.