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Does the slope matter

Updated: 9/18/2023
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Q: Does the slope matter
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What is the slope of 7x plus 5 for x equals 2?

7x is still the slope, no matter what x equals.


Why m represent the slope?

slope can be represented by any variables, such that, the variable representing the slope is defined. by convention, mathematicians and mathematics books authors used and are using "m" as the variable for slope. (recommended to have further historical research on this matter)


Does it matter which points you use to find the slope?

No. If you have more than two points for a linear function any two points can be used to find the slope.


Select the correct properties of slope below A The slope of a line is always positive B If two lines have the same slope then they are the same line C A steep line has negative slope?

The correct properties are found in answer A. The slope of a line is always positive, no matter which way the line is angled or heading.


Can two lines with positive slopes be parallel?

yes they can be parallel because for a pair of lines to be parallel the slope must be the same no matter if the slope is positive or negative.


Does it make a difference what two points on a line you choose when finding slope?

Absolutely not, because the slope of the line does not change no matter its location on the x or y axis.


It does not matter which of the two points of a line you choose to call x1 y1 and which you choose to call x2 y2 to calculate the slope of the line?

This is true as long as the slope of the line is constant, if it is a straight line and doesn't curve, then yes it doesn't matter which points are chosen.


What is the mathametical formula for a slope?

X1-X2/Y1-Y2 It does not matter which point is 1 or 2


Would the slope change if you count the run before the rise?

The slope is defined as (rise) divided by (run). It doesn't matter which oneyou measure first, as long as you divide them in the right order.


It doesn't matter which of the two points on a line you choose to call (x1 y1) and which you choose to call (x2 y2) to calculate the slope of the line.?

Slope of line: (y2 -y1)/(x2-x1)


What is the slope of the line y equals a?

To get the slope of an equation just differentiate it with respect to the independent variable.d/dx (y = a)dy/dx = d/dx (a){dy/dx = y'} a has no x term so {d/dx (a) = 0}y' = 0 and since y' represents the slope, the slope is equal to 0Or you could just know that a y=a is a horizontal line, therefore the slope is always 0, no matter what a equals.


How does the slope of a line represent a rate of change?

well the rate of change is how much something changes in a matter of time, so it can be graphed in a slope because slopes can represent changes ( negative and positive, zero and undefined)