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Why cant all linear equations be written in point slope form?
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
Can linear equations have minus signs instead of plus signs?
Yes, and it would be a negative slope.
Why can't all linear equations be written using point slope?
Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.
What is the basic equation for graphing linear equations?
y=mx+b m is slope. slope is rise over run b is y-int
How can you tell if two equations are parallel?
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
Why cant all linear equations be written in point slope form?
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
By looking at two linear equations how can you tell that the corresponding lines are parallel?
By looking st two linear equations you can tell that the corresponding lines are parallel when the slope is the same. The slope controls where the line is.
How do you use slope to graph linear equations?
Aidan beavis perera
What is the importance of slope intercept form?
makes it very easy to graph linear equations
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
Does every pair of linear simultaneous equations have a solution?
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.
Can linear equations have minus signs instead of plus signs?
Yes, and it would be a negative slope.
Why can't all linear equations be written using point slope?
Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.
What is the basic equation for graphing linear equations?
y=mx+b m is slope. slope is rise over run b is y-int
How can you tell if two equations are parallel?
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
Does a linear equation have the same slope?
Yes, a linear equation represents a straight line and has a constant slope throughout the entire line. The slope indicates the rate of change between the variables, meaning that for any two points on the line, the slope remains the same. Thus, all linear equations of the same form will have the same slope if their coefficients are consistent.
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.
