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A linear function is represented by an equation of the form (y = mx + b), where (m) and (b) are constants. Because it is continuous, every input (x) within its domain corresponds to exactly one output (y), forming a straight line on a graph. Since there are infinitely many values of (x) that can be chosen, each yielding a unique (y), this results in an infinite number of solutions along the line. Thus, every point on the line represents a solution to the linear equation.
What else can I help you with?
Can a graph be a function and be linear?
yes as long as the linear graph does have a "y" with infinite solutions and the "x" remains constants for example: x:3,3,3,3,3,3,3 Y:-3,-2,-1,0,1,2,3
How do you draw a continuous linear decreasing function?
A continuous linear decreasing function is a line that goes on forever and has a negative slope (is downhill from left to right). For example, the line y = -x is a continuous linear decreasing function.
How many solutions does a linear inequality with two variables have?
Infinite.
Are all continuous functions linear?
Not at all.Y = x2 is a continuous function.
How many solutions are there in a linear equation?
Either an infinite number or none.
Can a graph be a function and be linear?
yes as long as the linear graph does have a "y" with infinite solutions and the "x" remains constants for example: x:3,3,3,3,3,3,3 Y:-3,-2,-1,0,1,2,3
How do you draw a continuous linear decreasing function?
A continuous linear decreasing function is a line that goes on forever and has a negative slope (is downhill from left to right). For example, the line y = -x is a continuous linear decreasing function.
How many solutions does a linear inequality with two variables have?
Infinite.
What is a function that forms a line when graphed called?
It is a continuous function. If the line is a straight line, it is a linear function.
Are all continuous functions linear?
Not at all.Y = x2 is a continuous function.
What are inifintly equations?
Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.
How many solutions are there in a linear equation?
Either an infinite number or none.
Is a line with an infinite amount of slope a linear function?
No, I don't think that would fit the definition of a linear function.
There is a system of linear equations with exactly two solutions is it true or false?
False. There can either be zero, one, or infinite solutions to a system of two linear equations.
What types of solutions can be found for linear equation?
A linear equation has a n infinite number of solutions. The coordinates of each point on the line is a solution.
What does a graph with infinitely many solutions look like?
they have same slop.then two linear equations have infinite solutions
Can a pair of linear equation have exactly two solutions?
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
