In my opinion they are pointless and just another reason for people to hate math.
Without an equality sign it is not an equation.
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
Yes, a straight line can represent a linear function as long as it can be described by the equation (y = mx + b), where (m) is the slope and (b) is the y-intercept. This equation defines a relationship between the input variable (x) and the output variable (y) that is consistent and linear. If the line is horizontal (slope of zero) or vertical (undefined slope), it may not represent a traditional linear function in the context of function definition, where each input must correspond to exactly one output.
A linear function is a function, or equation, that when graphed, will form a straight line.
Without an equality sign it is not an equation.
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
what a sufficent condition that shows a equation does not represent a linear function
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
Y = 5X - 3It form a linear function; a line.
Yes, a straight line can represent a linear function as long as it can be described by the equation (y = mx + b), where (m) is the slope and (b) is the y-intercept. This equation defines a relationship between the input variable (x) and the output variable (y) that is consistent and linear. If the line is horizontal (slope of zero) or vertical (undefined slope), it may not represent a traditional linear function in the context of function definition, where each input must correspond to exactly one output.
yes, a vertical line is linear, but it's not a function.
A linear function is a function, or equation, that when graphed, will form a straight line.
No, this is not a function. The graph would have a vertical line at x=-14. Since there are more than one y value for every given x value, the equation does not represent a function. The slope of the equation also does not exist.