1 Zero Slope When there is no change in y as x changes, the graph of the line is horizontal. A horizontal line has a slope of zero. 2  Undefined Slope When there is no change in x as y changes, the graph of the line is vertical. You could not compute the slope of this line, because you would need to divide by 0.
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In a linear relationship, two variables or quantities are proportionate to one another. As one variable changes, there is a constant rate of change in another variable. In a graphic representation, a...
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Examples of Linear Relationships. 1  distance = rate time In this equation, for any given steady rate, the relationship between distance and time will be linear. However, distance is usually expressed as a positive number, so most graphs of this relationship will only show points in the first quadrant.
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If students are comfortable with solving a simple two-step linear equation, they can write linear equations in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables.
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Positive linear relationships involve the two variables moving in the same direction. Both variables either increase or decrease with each unit change. In a negative linear relationship, an increase or decrease in one variable correlates to a decrease or increase in the other variable. The variables move in opposition of one another.
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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.
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Examples of Linear Relationships. distance = rate time. In this equation, for any given steady rate, the relationship between distance and time will be linear. However, distance is usually expressed as a positive number, so most graphs of this relationship will only show points in the first quadrant.
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A: In a linear relationship, two variables or quantities are proportionate to one another. As one variable changes, there is a constant rate of change in another variable. In a graphic representation, a linear relationship is a straight line that passes through data points based on the slope and rate of change.
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When a linear equation has two variables, as it usually does, it has an infinite number of solutions. Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x.
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1 Zero Slope When there is no change in y as x changes, the graph of the line is horizontal. 2  Undefined Slope When there is no change in x as y changes, the graph of the line is vertical. 3  Lines with the Same Slope Lines with the same slope are either the same line, or parallel lines.
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how does a linear relationship
In a linear relationship, two variables or quantities are proportionate to one another. As one variable changes, there is a constant rate of change in another variable. In a linear relationship, two variables or quantities are proportionate to one another, as one variable changes, there is a constant rate of change in another variable.