Question

What is slope? How is the slope related to a unit rate? And why is the slope between any two points on a straight line always the same?
Thank you.

Answer 1

Answer: The slope of a line characterizes the direction of a line.

Step-by-step explanation:

the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope. The ratio is constant between any two points along a straight line, which means that the slope of a straight line is constant, too.

Answer 2

The slope = $\mathbf{\frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}}$ and is also the same as unit rate as they are both constant of the ratio between two variables.

The slope between any two points on a straight line will always be the same because the rise/run along the line remains constant (see attached image below).

Slope can be defined as the rate of change of y over rate of change of x.

• This can be calculated using the equation: $\mathbf{\frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}}$

The slope can also be referred to as unit rate because the unit rate is a constant between the ratio of two quantities that vary together. This is also true for slope.

As shown in the diagram attached below, the slope between any two points on a straight line will always be the same because the rise/run along the line remains constant.

• In summary, slope = $\mathbf{\frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}}$ and is also the same as unit rate as they are both constant of the ratio between two variables.

• The slope between any two points on a straight line will always be the same because the rise/run along the line remains constant (see attached image below).

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https://brainly.com/question/21844913