How do you find the solution to a systems of equations graphically?
find the slope of the graphs
It is the coordinate pair at the place where the 2 linear graphs intersect
it is the y-intercept of a linear equation
it is the place where two equations have the same slope and y-intercept
To find the solution to a system of equations graphically, you would first graph both equations on the same coordinate plane. Then, identify the point(s) where the two lines intersect. These point(s) represent the solution(s) to the system of equations. Another way to confirm that this point is indeed the solution is to substitute the coordinates into both equations and see if both equations are true.
use the answer choices
Sorry, I'm not sure what answer choices you are referring to. Could you please provide more context or information?
To find the solution to a system of equations graphically, you need to follow these steps:
1. Graph both equations on the same coordinate plane. Each equation should be represented as a line.
2. Determine the slope of each line. The slope represents the rate at which the line is changing vertically (y-axis) for every unit it moves horizontally (x-axis). You can find the slope by selecting two points on the line and calculating the change in y divided by the change in x.
3. Find the y-intercept of each line. The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is equal to zero. This can be found by letting x equal zero and solving for y in the equation.
4. Analyze the graphs to identify the point of intersection. The solution to the system of equations is the coordinate pair (x, y) where both lines intersect. At the point of intersection, the two equations have the same values for x and y.
So, in summary, to find the solution to a system of equations graphically, you need to analyze the slopes and y-intercepts of the lines and identify the point where the two lines intersect.