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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).
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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.
How can you tell from a linear equation which direction it goes without graphing the equation?
You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.
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.
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 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
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.
