To find the rate of change of the variables being graphed, you can calculate the slope of the line connecting two points on the graph. The slope is determined by taking the difference in the y-values (vertical change) and dividing it by the difference in the x-values (horizontal change) between the two points. This can be expressed mathematically as ( \text{slope} = \frac{\Delta y}{\Delta x} ). For non-linear graphs, you can estimate the rate of change at a specific point by finding the derivative at that point, which represents the instantaneous rate of change.
To find the solution of two equations graphed on a coordinate plane, look for the point where the two lines intersect. This point represents the values of the variables that satisfy both equations simultaneously. The coordinates of this intersection point are the solution to the system of equations. If the lines are parallel, there is no solution; if they are the same line, there are infinitely many solutions.
otherwise when you change one or more of the other variables involved you will change the values of the variable you are trying to find
To find the rate of change of the expression (-5xy - 3), we need to identify how it changes with respect to one of its variables. If we take the derivative with respect to (x), treating (y) as a constant, the rate of change is (-5y). Conversely, if we differentiate with respect to (y), treating (x) as a constant, the rate of change is (-5x). Thus, the rate of change depends on the variable being considered.
The equation (2x + 8y = -13) represents a linear equation in two variables, (x) and (y). When graphed, it produces a straight line. To find the slope and y-intercept, you can rearrange it into slope-intercept form (y = mx + b). In this case, the slope is (-\frac{1}{4}) and the y-intercept is (-\frac{13}{8}).
to find the unknown variables
if the points are already graphed, you can use the slope right triangle method or you can make a table and go from there. You can also use this formula: y2-y1/x2-x1. The y is the y coordinate and the x is the point's x coordinates. If you have an equation in y=mx+b form the slope or rate of change is the number right before the x.(represented by the m in the example)
To find the solution of two equations graphed on a coordinate plane, look for the point where the two lines intersect. This point represents the values of the variables that satisfy both equations simultaneously. The coordinates of this intersection point are the solution to the system of equations. If the lines are parallel, there is no solution; if they are the same line, there are infinitely many solutions.
Factors
You divide the difference in y-coordinates by the difference in x-coordinates. Or whatever the variables are.
otherwise when you change one or more of the other variables involved you will change the values of the variable you are trying to find
Because if there are two inequality eqations, you can find out which overlap if graphed.
No, but eliminating variables is one of several ways to find the value of variables in a system of equations.
Variables are items, which change their values during the execution of a program. Constants do not change the value during the execution of a program.
By summing the mathematical variables say;X1+X2+X3 Then, dividing by their average 3.
you look at the line and see if there are any direct points on the line the slope formula
To find the rate of change of the expression (-5xy - 3), we need to identify how it changes with respect to one of its variables. If we take the derivative with respect to (x), treating (y) as a constant, the rate of change is (-5y). Conversely, if we differentiate with respect to (y), treating (x) as a constant, the rate of change is (-5x). Thus, the rate of change depends on the variable being considered.
When a question asks you to state the relationship between variables, it is requesting you to describe how the variables are related to each other. This could include whether they have a positive or negative correlation, whether one variable causes a change in the other, or if there is no relationship between the variables.