No. A linear graph has the same slope anywhere.
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.
Yes, Rate of change is slope
No. In a linear equation, y = mx + b, the slope is m, and the x intercept is where mx + b = 0.
makes it very easy to graph linear equations
slope intercept form is y=mx+b (m is slope, b is y intercept) slope = 4, y intercept = -2 y = 4x -2
If you are talking about linear graphs, m refers to the gradient (aka slope or rate of change).
If you are talking about linear graphs, m refers to the gradient (aka slope or rate of change).
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'.
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.
Linear has a slope direct does not but both go through the orgin
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.
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)
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.
It does not change.
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
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.
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.