The solution to a system of two linear equations is x = 3 weeks; y = 9 feet
How would you locate the solution of the two linear graphs on the coordinate plane?
To locate the solution of the two linear equations on the coordinate plane, you would plot the points (x, y), which in this case are (3, 9). This point represents the intersection of the two graphs of the linear equations.
To locate the solution of the two linear graphs on the coordinate plane, you would plot the graphs of the two linear equations and find the point of intersection.
Here are the steps to locate the solution:
1. Write down the two linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.
2. Plot the first equation on the coordinate plane by finding its y-intercept and using the slope to determine other points on the line. Connect the points to form a straight line.
3. Plot the second equation on the same coordinate plane using the same method.
4. Find the point of intersection between the two lines. This point represents the solution to the system of linear equations.
5. Mark the coordinates of the point of intersection on the graph. In this case, the solution is x = 3 weeks and y = 9 feet, so you would mark the point (3, 9).
6. You can also verify the solution by substituting the values of x and y back into the equations to check if they satisfy both equations.
By following these steps, you can locate the solution of the two linear graphs on the coordinate plane.
To locate the solution of the two linear graphs on the coordinate plane, you need to plot the graphs of the two equations and find the point where they intersect. Here are the step-by-step instructions:
1. Write down the equations in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Let's say the equations are:
Equation 1: y = mx + b1
Equation 2: y = mx + b2
2. Identify the slope and y-intercept of each equation.
For Equation 1, identify the slope as m1 and the y-intercept as b1.
For Equation 2, identify the slope as m2 and the y-intercept as b2.
3. Plot the y-intercepts on the y-axis.
For Equation 1, plot the point (0, b1).
For Equation 2, plot the point (0, b2).
4. Determine the slope for each equation.
For Equation 1, the slope is m1, which represents the change in y divided by the change in x.
For Equation 2, the slope is m2, which represents the change in y divided by the change in x.
5. Use the slope to determine additional points on each line.
From the y-intercepts, move horizontally (right or left) according to the slope to find another point on each line.
6. Connect the points on each line to draw the graphs of the equations.
7. Locate the intersection point of the two graphs.
Find the point where the two lines intersect. This is the solution to the system of equations.
In this case, if the solution is x = 3 weeks and y = 9 feet, locate the point (3, 9) on the coordinate plane where the two lines intersect.