Could someone pretty please help me on this. I need explanation. Q1: why are some of the line segments steeper than others?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

Step-by-step explanation:

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How do you know which slope is steeper?

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line.

Can you create a line segment with infinite steepness?

An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis 0.

How does rate of change affect the steepness of a line?

The steepness of a line is essentially the slope. ... A negative slope would be depicted by a line going from the upper left to bottom right. Slope values increase the higher the number is: For instance, a line with a slope of 2 is steeper than a line with a slope of 12 . Hope this helps!Jun 20, 2018

What are the 3 slope formulas?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

What is a 6% grade?

A road sign indicating a 6% grade, or 6% slope. A six percent slope means that the road elevation changes 6 feet for every 100 feet of horizontal distance (Figure 1.3). ... A road climbs at a gradient of 6 percent. The road gains 6 feet in elevation for every 100 feet of horizontal distance.

What does the slope represent?

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.

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