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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 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 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 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
When two linear functions share the same rate of change what might be different about their tables graphs and equations?
When two linear functions share the same rate of change, their graphs will be parallel lines because they have the same slope. However, their equations will differ in the y-intercept, which means they will cross the y-axis at different points. Consequently, their tables of values will show consistent differences in their outputs for the same inputs. Despite having the same slope, these differences lead to distinct linear functions.
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)
WHAT IS A GRAPH CALLED THAT IS A STRAIGHT LINE?
A graph that is a straight line is called a linear graph. It represents a linear relationship between two variables, typically expressed in the form of a linear equation, such as y = mx + b, where m is the slope and b is the y-intercept. Linear graphs indicate a constant rate of change between the variables.
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.
What is gr aph of a linear?
A graph of a linear equation is a straight line that represents the relationship between two variables, typically in the form of (y = mx + b), where (m) is the slope and (b) is the y-intercept. The slope indicates the angle of the line, showing how much (y) changes for a unit change in (x). The y-intercept is the point where the line crosses the y-axis. Linear graphs demonstrate constant rates of change and can model various real-world situations.
