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A linear equation is one in which there is an actual slope. In other words, if you graph it, it'll be a straight line.
There are two ways of displaying a linear relationship:
General form: Ax + By + C = 0; A B and C are all real numbers (though it is generally simplified so that they can all be expressed as integers.)
Standard form: y = mx + b, where m and b are real numbers. This form is also called slope-intercept form.
If you're given an equation where y = xn, where n isn't 1, then that would not be linear, since the graph is not a straight line, whereas y = x is linear. If y = x is graphed, then you'll see that it's a perfectly straight line.
Since I rambled, I'll summarize: from the equation, you can tell if the relationship is linear if it can be expressed either as Ax + By + C = 0 or y = mx + b (A, B, C, m, b are all real numbers)
What else can I help you with?
What is standard form linear equation's?
A standard form of a linear equation would be: ax + by = c
Is the regression equation a mathematical equation that defines the relationship between two variables?
No. It is an estimated equation that defines the best linear relationship between two variables (or their transforms). If the two variables, x and y were the coordinates of a circle, for example, any method for calculating the regression equation would fail hopelessly.
Is 3g(x) x a linear equation?
The expression (3g(x) = x) can be considered a linear equation if (g(x)) is a linear function. A linear equation has the form (y = mx + b), where (m) and (b) are constants. If (g(x)) is indeed linear, then (3g(x)) will also be linear, making the equation (3g(x) = x) a valid linear equation. However, if (g(x)) is nonlinear, then the equation would not be linear.
Which direction would the graph of y-x plus 2 plus 3 open?
The question contains an expression, not an equation. An expression does not have a graph. Furthermore, even if it were an equation, its form suggests that it would be a linear equation and a linear equation does not open in any direction.
What equation models the data in the table if d number of days and c the cost?
To determine the equation that models the relationship between the number of days (d) and the cost (c), you would typically analyze the data in the table for a pattern, such as linearity or exponential growth. If the relationship is linear, it can often be represented in the form (c = md + b), where (m) is the slope (cost per day) and (b) is the fixed cost (if any). If the relationship is non-linear, other forms like exponential or quadratic may apply. You would need the specific data to derive the exact equation.
Why would a linear trend equation based forecast be dangerous?
The relationship between the variables may not be linear.
How would you decide from a graph that the relationship was neither linear nor inverse?
because it is a methodical answer and that is why i am asking you
What is standard form linear equation's?
A standard form of a linear equation would be: ax + by = c
What is the term for An equation whose graph is a line?
That would be a linear equation.
Is the regression equation a mathematical equation that defines the relationship between two variables?
No. It is an estimated equation that defines the best linear relationship between two variables (or their transforms). If the two variables, x and y were the coordinates of a circle, for example, any method for calculating the regression equation would fail hopelessly.
Is 3g(x) x a linear equation?
The expression (3g(x) = x) can be considered a linear equation if (g(x)) is a linear function. A linear equation has the form (y = mx + b), where (m) and (b) are constants. If (g(x)) is indeed linear, then (3g(x)) will also be linear, making the equation (3g(x) = x) a valid linear equation. However, if (g(x)) is nonlinear, then the equation would not be linear.
How can you decide wheather a relationship is linear by studying the words used to describe the variables?
Ideally you would want one of the phrases "directly proportional", "varies according to" or similar.
Which direction would the graph of y-x plus 2 plus 3 open?
The question contains an expression, not an equation. An expression does not have a graph. Furthermore, even if it were an equation, its form suggests that it would be a linear equation and a linear equation does not open in any direction.
What is an equation of a non linear equation?
A non-linear equation is any equation which includes variables with a degree other than one. Therefore, any equation involving x2, x3, x4, .... would be non-linear. For example: y= 3x+2 is linear, because x and y are both degree 1 (no exponent) y= 2x2 is non-linear, because x is degree 2.
What equation models the data in the table if d number of days and c the cost?
To determine the equation that models the relationship between the number of days (d) and the cost (c), you would typically analyze the data in the table for a pattern, such as linearity or exponential growth. If the relationship is linear, it can often be represented in the form (c = md + b), where (m) is the slope (cost per day) and (b) is the fixed cost (if any). If the relationship is non-linear, other forms like exponential or quadratic may apply. You would need the specific data to derive the exact equation.
Is y equals 2 to the x power a linear equation?
If you mean y = 2^x, then no, it is not a linear equation. This is an exponential equation. The graph of this exponential equation would start out near zero on the left-hand side (there is a horizontal asymptote at y = 0) and would gradually increase as you move to the right: overall, it has a curved shaped. If you mean y = 2x, then yes, it is a linear equation.
Would the cross section of a satellite dish be modeled by a linear or a quadratic equation?
The satellite dish is a parabolic reflector. A parabola cannot be modeled by a linear equation because a linear equation is one that graphs as a straight line. It takes a second degree expression to plot it, and that means a quadratic equation.
