What do slopes of lines represent

Thus, the denominator represents an increase of 5 hours of overtime work. Now, put this all together and interpret the slope as telling us that for every additional 5 hours of overtime work that employees are asked to do, their job satisfaction goes down an average of 2 points. The scatterplot and regression line below are from a study that collected data on the population in hundred thousands of cities and the average number of hours per week the city's residents spend outdoors.

Interpreting the Slope of a Regression Line. Solution The slope of the regression line is Interpret the slope of the regression line in the context of the study. Solution We first need to determine the slope of the regression line.

Because horizontal and vertical lines remain constant and never increase or decrease, they're merely straight lines. Horizontal lines have no steepness at all. Because any calculation of the slope of horizontal lines means dividing zero by another number, the slope of a horizontal line is always zero. A vertical line, on the other hand, is calculated by dividing a number by zero. The m represents the slope and the b represents the y-intercept. Find the slope of the line passing through the points , and ,.

Round your answer to 1 d. Now that we know how to calculate the slope, what does it actually represent? If we imagine a point moving along a straight-line graph from P to R, then the x - and y - coordinates of the point will change and in fact.

In other words, the slope of the line tells us the rate of change of y relative to x. For a linear function, the rate of change of y relative to x is always constant, i. More classes on this subject Pre-Algebra Graphing and functions: Linear equations in the coordinate plane Pre-Algebra Graphing and functions: Solve systems of equations by graphing.

Search Math Playground All courses. All courses. Pre-Algebra Introducing Algebra Overview Operations in the correct order Evaluate expressions Identify properties Equations with variables Coordinate system and ordered pairs Inequalities.