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If the graphs of two linear equations in a system have the same slope the system has what kind of solution?
If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.
Is rate of change the same as slope?
Yes, Rate of change is slope
Is the x intercept the same as the slope?
No. In a linear equation, y = mx + b, the slope is m, and the x intercept is where mx + b = 0.
What is the importance of slope intercept form?
makes it very easy to graph linear equations
If the slope of a line is 4 and the y intercept is negative 2 what is the linear equation in the slope intercept form?
slope intercept form is y=mx+b (m is slope, b is y intercept) slope = 4, y intercept = -2 y = 4x -2
What does m represent in your equation?
If you are talking about linear graphs, m refers to the gradient (aka slope or rate of change).
What does the m in algebra stand for?
If you are talking about linear graphs, m refers to the gradient (aka slope or rate of change).
What does slope mean in math terms?
Slope refers to the gradient of a graph, for linear graphs (straight-line) this is equal to the change in y divided by the change in x - often referred to as the 'rise over the run'.
Does in linear graphs the slope of the line change with the x coordinate?
In a linear graph the slope is the same everywhere, assuming vertical line graphs are not allowed. Depending on context, a vertical line (say x = 3) is not always allowed. If the graph is a vertical line then the slope is infinite at the single value of x. (That would be 3 in the example above.) The slope would then be undefined elsewhere.
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
Determine whether the graphs of the equations are parallelperpendicular or neither?
Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor perpendicular.
Please help -- How does the slope and y-intercept change if you reverse the x and y axis of a linear graph. Will the graph still be linear?
If it was linear to start with it will still be linear. The slope will change to its reciprocal. The y-intercept will be unchanged (but it will look different)
How does finding slope compare to finding the rate of change between two variables in a linear relationship?
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.
If a linear graph has a negative slope what can you say about the dependent variable?
It does not change.
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
When solving systems of linear equation's when would you get no solution as an answer?
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
What if the rate of change is a measure of how fast the function is increasing or decreasing what does the slope of a linear?
The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
