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Can all the linear equations be graph using the intercept?
Yes - provided you allow both x and y intercepts.
Can a system of linear equations have no solution?
Yes, a system of linear equations can have no solution, which occurs when the equations are inconsistent. This typically happens when the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts. As a result, they never intersect, indicating that there are no values for the variables that satisfy all equations simultaneously.
How are the graphs of systems of linear equations and inequalities related to their solutions?
The graphs of systems of linear equations represent the relationships between variables, with each line corresponding to an equation. The point(s) where the lines intersect indicate the solution(s) to the system, showing where the equations are satisfied simultaneously. For systems of linear inequalities, the graphs display shaded regions that represent all possible solutions that satisfy the inequalities; the intersection of these regions highlights the feasible solutions. Therefore, both the graphs and their intersections are crucial for understanding the solutions to the systems.
Do linear graphs represent proportional relationships?
Do all linear graphs have proportional relationship
Graphs are representations of equations.?
Line graphs may represent equations, if they are defined for all values of a variable.
Can all the linear equations be graph using the intercept?
Yes - provided you allow both x and y intercepts.
Can a system of linear equations have no solution?
Yes, a system of linear equations can have no solution, which occurs when the equations are inconsistent. This typically happens when the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts. As a result, they never intersect, indicating that there are no values for the variables that satisfy all equations simultaneously.
Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
How are the graphs of systems of linear equations and inequalities related to their solutions?
The graphs of systems of linear equations represent the relationships between variables, with each line corresponding to an equation. The point(s) where the lines intersect indicate the solution(s) to the system, showing where the equations are satisfied simultaneously. For systems of linear inequalities, the graphs display shaded regions that represent all possible solutions that satisfy the inequalities; the intersection of these regions highlights the feasible solutions. Therefore, both the graphs and their intersections are crucial for understanding the solutions to the systems.
Do all graphs of linear equations have x-intercepts?
no, not all lines cross each other.===================================Answer #2:Yes, UNLESS the line is parallel to the x-axis. That'sany line with a slope of zero. Its equation is . . .Y = any number, except zero . If that's NOT the equation of the line, then the linecrosses the x-axis.
Do linear graphs represent proportional relationships?
Do all linear graphs have proportional relationship
Graphs are representations of equations.?
Line graphs may represent equations, if they are defined for all values of a variable.
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Are all linear equations functions Is there an instance when a linear equation is not a function?
Linear equations are always functions.
What is the condition for no solution of linear equation?
A linear equation system has no solution when the equations represent parallel lines that never intersect. This occurs when the coefficients of the variables are proportional, but the constant terms are not, indicating that the lines have the same slope but different y-intercepts. Consequently, the system is inconsistent, as there are no values that satisfy all equations simultaneously.
How do you write equations from graphs?
Assuming the graph is linear, all equations will follow the formula y = mx + c, where "mx" represents the gradient of the line; "c" is the y-intercept i.e. where the graph crosses the y-axis.
What are the linear systems?
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
