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Students generally learn about the slopes of linear equations in the earliest algebra classes - specifically when they learn about the slope-intercept form of the linear equation:
y = mx + b.
This is generally either 8th or 9th grade, depending upon the institution.
Students learn about slopes of arbitrary functions and rates of change in differential calculus ("Calc 1"), or possibly business calculus if they are not taking a technical degree. This class is usually taken in college, though it may be taken in high school if the student is taking accelerated math classes.
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Is rate of change the same as slope?
Yes, Rate of change is slope
Do all lines have a slope?
Although all lines have the relationship that defines slope, one can argue that not all lines do have one. The exception would be vertical lines. Slope is defined as the vertical rate of change divided by the horizontal rate of change. In the case of a vertical line, there is no horizontal rate of change, and calculating slope would cause division by zero. The closest you could come to expressing the slope of a vertical line would be ∞
What is Name of slant on a line graph?
The name of the slant on a line graph is called the slope. The slope represents the rate of change between two points on the graph and is calculated by dividing the change in the y-coordinates by the change in the x-coordinates. A positive slope indicates an upward trend, while a negative slope indicates a downward trend.
What does the slope of the line represent?
The slope represents the RATE OF CHANGE. Example: the distance (y) over speed (x) the formula is rise÷run or y2-y1÷x2-x1= m Slope is represented as m in the equations y=mx+b and y=mx
How can the slope of a line be used to describe a line?
The slope is just the rate of change. For every change along the x-axis, the y-axis changes.y = mx + b, where m is the slope and b is just an arbitrary constant. Because of this, let's just assume b is equal to 0.So, if m = 4:y = 4x + 0y = 4xIn this case, y is always 4 times larger than what x is equal to, except when x is equal to zero (because they are both equal to zero in that case).If x is equal to 2:y = 4(2) = 8, so you can clearly see y is 4 times larger than x.Slope, or rate of change, represents: change in y divided by change in x (or more commonly, "rise over run")So the answer here, is slope can describe the rate of change of a line.
