Linear equations with two variables may appear in the form Ax + By = C, and the resulting graph is always a straight line. More often, the equation takes the form y = mx + b, where m is the slope of the line of the corresponding graph and b is its y-intercept, the point at which the line meets the y-axis.
Q. What states that two quantities are equal?
Algebra Unit 1 Vocabulary
Table of Contents
- Q. What states that two quantities are equal?
- Q. How do you determine if it is a linear equation?
- Q. What is graphical method in math?
- Q. What is the graphical representation of a pair of linear equation of two variables if it has infinitely many solution?
- Q. What is the graphical representation of pair of linear equations?
- Q. What is the graphical condition for the pair of linear equations have no solution?
- Q. What is the criteria for no solution?
| A | B |
|---|---|
| Proportion | An equation that states that two ratios are equal. |
| Rate | A ratio that compares two quantities measured in different units. |
| Ratio | A comparison of two numbers by division. |
| Scale | The ratio of any length in a drawing to the .corresponding actual length |
Q. How do you determine if it is a linear equation?
Using an Equation Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.
Q. What is graphical method in math?
To solve systems of equations or simultaneous equations by the graphical method, we draw the graph for each of the equation and look for a point of intersection between the two graphs. The coordinates of the point of intersection would be the solution to the system of equations.
Q. What is the graphical representation of a pair of linear equation of two variables if it has infinitely many solution?
(ii) Consistent equations with infinitely many solutions: The graphs (lines) of the two equations will be coincident. The graphs of the above equations coincide. Coordinates of every point on the lines are the solutions of the equations. Hence, the given equations are consistent with infinitely many solutions.
Q. What is the graphical representation of pair of linear equations?
The graph of every linear equation in two variables is a straight line. x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis. The graph of x = a is a straight line parallel to the y-axis. The graph of y = a is a straight line parallel to the x-axis.
Q. What is the graphical condition for the pair of linear equations have no solution?
If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. This type of system of equations is called an inconsistent pair of linear equations. If we plot the graph, the lines will be parallel and system of equations have no solution.
Q. What is the criteria for no solution?
A system of linear equations can have no solution, a unique solution or infinitely many solutions. A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.
