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In any linear relationship explain why the slope is always the same?
Wiki User
∙ 6y ago
Because it is a linear relationship between x and y, this gain ratio is the same everywhere along the line. This is the most common way to represent a straight line because readers can easily obtain two basis of a straight line, namely slope (m) and y-intercept (c).
Wiki User
∙ 6y ago
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What do you need to write a linear equation for a linear relationship?
A Y-intercept and the slope. The y-intercept is where the line crosses the Y axis.
Are linear relationships proportional?
A relationship that occurs when variable quantities are directly proportional to one another. A linear relationship can be represented on a graph as a STRAIGHT LINE. Linear relationships always follow the formula: y=mx+b where y is the value of the y-coordinate, where my is the slope of the line, where x is the value of the x-coordinate, and b is the y-intercept
How can you tell if an equation is a linear relationship?
If it is in a y=mx+b format. Also, if there is a slope and a constant in the equation.
How do you identify a slope given in a linear equation?
To identify the slope in a linear equation, rearrange the equation into the form y = mx + b. The term m is the slope.
Does in linear graphs the slope of the line change with the x coordinate?
In a linear graph the slope is the same everywhere, assuming vertical line graphs are not allowed. Depending on context, a vertical line (say x = 3) is not always allowed. If the graph is a vertical line then the slope is infinite at the single value of x. (That would be 3 in the example above.) The slope would then be undefined elsewhere.
What is Linear and Non-Linear Relationships?
A linear relationship means that the slope of the line is proportional, which means that the line is straight. In contrast to the linear realtionship, the non-linear relationship's slope is not proportional and the line will curved and not straight. Formula of calculating the slope is the difference of y divided by the difference of x.
How does finding slope compare to finding the rate of change between two variables in a linear relationship?
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.
How do you tell whether the relationship between two variables is linear?
By definition, if you graph the relationship between two variables and the result is a straight line (of whatever slope) that is a linear relationship. If it is a curve, rather than a straight line, then it is not linear.
What do you need to write a linear equation for a linear relationship?
A Y-intercept and the slope. The y-intercept is where the line crosses the Y axis.
What does it mean when the slope of the line varied?
It means that the relationship between the x and y variables is not linear.
What is the slope intercept form of a linear equation explain why this form is called slope intercept form?
y=mx+b, because m stands for the slope and b is the y-intercept
Are linear relationships proportional?
A relationship that occurs when variable quantities are directly proportional to one another. A linear relationship can be represented on a graph as a STRAIGHT LINE. Linear relationships always follow the formula: y=mx+b where y is the value of the y-coordinate, where my is the slope of the line, where x is the value of the x-coordinate, and b is the y-intercept
What does the equation for a linear relationship stand for?
y=mx+b is the equation for a linear relationship. y= the dependant variable m= the slope of the line x= the independent variable b= the y-intercept
How can you tell if an equation is a linear relationship?
If it is in a y=mx+b format. Also, if there is a slope and a constant in the equation.
When a large number of cases are examined and a positive relationship is found what else should one expect to find?
a positive slope and a linear relationship
What conclusions can you draw if the line of best fitting on a linear graph does not slope either up or down but is horizontal?
The conclusion would be that there is no evidence of a linear relationship between the variables. There could well be a non-linear (eg quadratic) relationship.
What is the slope for the equation y equals -2x plus 5?
The slope would be -2 (moving 2 units down and one across). When you have a linear equation, the slope is always the variable's coefficient.
