What is a linear relationship?

Arnulfo Seegars: 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+bwhere 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...Show more

Ariel Arons: Definition: equation of first degree: an equation with no variable raised to a powerLinear EquationsA linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph ! as straight lines. A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable. In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable. If the variables have other names, yet do have a dependent relationship, the independent variable is plotted along the horizontal axis. Most linear equations are functions (that is, for every value of x, there is only one corresponding value of y). When you assign a value to the independent variable, x, you can compute the value of the dependent variable, y. You can then plot the points named by each (x,y) pair on a coordinate grid. The real importance of emphasizing graphing linear equations with your students, is that they should already know that any two points determine a line, so finding many pairs of values that satisfy a linear equation is easy: Find two pairs of values and dr! aw a line through the points they describe. All other points o! n the line will provide values for x and y that satisfy the equation. Describing Linear Relationships The graphs of linear equations are always lines. One important thing to remember about those lines is: Not every point on the line that the equation describes will necessarily be a solution to the problem that the equation describes....Show more

Abraham Ladick: What Is A Linear Relationship

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Charline Granes: A linear relationship is a pattern that increases by the same number each time.

Cristopher Gavalis: This Site Might Help You.RE:What is a linear relationship?I have to write an eight sentence paragraph describing what a linear relationship is.Can someone explain to me what it is, and how you can determine that two variables have a linear relationship?...Show more

Maye Delk: A linear relationship is a special relationship between two things that have a numerical value. The things could be speed, distanc! e, time, weight, temperature, value, quanity, percent. If it is measurable, it can have a linear relationship. We then take the numerical value and then plot points on a graph using these things (variables). If these points (three or more) can create a line on this graph, then the relationship is linear.There is 5 sentences. Finish it with some examples....Show more

Alisia Sutphen: Two variables (x and y, say) have a linear relationship when the connection between them can be written as: y = mx + b.It's called "linear" (meaning "of or like a [straight] line") because it is in fact a straight line when graphed, with conventional (x, y) axes. In perhaps more practical terms, it means that the RATIO of x- and corresponding y-increments is CONSTANT: any time you increase x by an amount ∆x, say, the corresponding y value increases by a constant multiple of ∆x, namely m ∆x.'m' is called the SLOPE of y versus x, and 'b' is the "y-intercept," meaning the value a! t which the straight line crosses the y-axis. (It's 'b' because the y-! axis is given by x = 0, so that, by the equation, y = b there.)Analogously, one could write the equation in the form x = ... rather than y = ... . In that case there will be a different "slope of x versus y," and correspondingly an "x-intercept." See if you can intuit what these must be, and then confirm your hunch by doing the necessary algebra....Show more

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James Langmyer: A linear relationship between two variables means that they are related in the first degree. The equations that relates them is linear. That means, the power of both variables is ONE.For example, y=3x, y=0.5x+10, y=x+(2/3) are all linear relationships.y=x^2, a second-degree, qua! dratic relationship, is not linear.Neither is y=x^3, y=sqrt(x), or y=sin(x).A good way to see whether a relationship is linear is to graph the relationship. If the relationship is linear, the graph will be a straight line....Show more

Raelene Cunnick: y = ax + bwhere the highest power of x is 1. in other words there can be no y = ax^2 + bx + c. if you draw a linear equation it gives a straight line.