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How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
When is a linear equation an identity?
When the equation represents a horizontal line.
What is the decimal equivalent of the linear foot measurement notation 12 rounded to the nearest hundredth?
12.00
Which equation represents a direct linear variation?
Y=1/x
What does the graph of a line represent?
It represents all solutions to the linear equation.
What is the decimal equivalent of the linear foot measurement notation 12 to the 6 power rounded to the nearest hundredth?
12.00
The value 11.7 represents the of the graph of the following linear regression equation?
slope
What does it mean for a ordered pair to be a solution to a linear equation?
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
Why is a degree 1 polynomial equation ax plus by equals 0 called a linear equation?
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
What does the y-intercept represent in a linear regression equation?
It represents the value of the y variable when the x variable is zero.
What represents the linear equation 2x y 3 in slope-intercept form?
None of them, since there is nothing following.
How are linear equations similar or different from functions?
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
