How do you find the solution to a system of equations graphically?(1 point)
Responses
Find the y-intercept of the two lines.
Find the y-intercept of the two lines.
Find the slope of the two lines.
Find the slope of the two lines.
Find the slope and y-intercept of the two lines.
Find the slope and y-intercept of the two lines.
Find the point where the two lines intersect.
Find the point where the two lines intersect.
Question
What will the graph look like for a system of equations that has no solution?(1 point)
Responses
You will see the lines intersect at only one point.
You will see the lines intersect at only one point.
You will see the lines intersect at two different points.
You will see the lines intersect at two different points.
You will see lines on top of each other so that they form the same exact line.
You will see lines on top of each other so that they form the same exact line.
You will see parallel lines.
You will see parallel lines.
You will see perpendicular lines.
You will see parallel lines.
What is the solution to the system of equations shown?
(1 point)
Responses
No Solution
No Solution
(2, 0)
(2, 0)
(-6, 0)
(-6, 0)
(4, 5)
(4, 5)
(0, 3)
(0, 3)
Infinite Solutions
(2, 0)
are you sure
Apologies for the confusion. Based on the given options, it is not possible to determine the solution to the system of equations without knowing the equations themselves. The options provided do not provide enough information to determine a specific solution.
Match the equation with the line from the system shown on the graph.
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Purple Line
Blue Line
It seems that the options for matching the equations with the lines are missing. Please provide the equations or options for me to match them with the lines on the graph.
To find the solution to a system of equations graphically, follow these steps:
1. Write down the two equations of the system.
2. Plot the graphs of the equations on the same coordinate plane.
3. Look for the point where the two lines intersect.
To find the intersection point, you can use the following methods:
- Estimate the coordinates of the intersection point by visually examining the graph.
- Determine the y-intercepts of the two lines by finding the point where the lines cross the y-axis.
- Determine the slopes of the two lines by calculating the change in y divided by the change in x (rise over run).
- Use the slope-intercept form of the equations (y = mx + b) to find the y-intercepts and slopes.
- Find the point of intersection by setting the two equations equal to each other and solving for the variables.
Once you have found the intersection point, state the coordinates as the solution to the system of equations.