Can someone please help/show me how to Graph linear equations??
Directions~
Graph the following linear equations by plugging in values for x, solving for y, and keeping track of your x- and y-values in a table. You should determine at least three points on the line before you begin graphing. Plot three points in yellow and draw the line in red.
Questions~
1. y = 2x
2. y = (3/4)x
3. y = -1
get some graph paper, with small squares on it.
Plot two points and draw a line between them.
The points come from your table.
google will provide lots of examples. As will your textbook, no doubt...
Alright, thank you very much
Sure! I can help you with that. Let's go step by step to graph each of the linear equations.
1. y = 2x:
To graph this equation, we need to substitute some values for x, solve for y, and create a table.
Let's choose three values for x: -2, 0, and 2.
When x = -2:
y = 2(-2) = -4
So we have the point (-2, -4).
When x = 0:
y = 2(0) = 0
So we have the point (0, 0).
When x = 2:
y = 2(2) = 4
So we have the point (2, 4).
Now, let's plot these three points (-2, -4), (0, 0), and (2, 4) on the graph using yellow dots.
Finally, draw a straight line passing through these three points. Make sure to draw it in red.
2. y = (3/4)x:
Follow the same steps as above:
Let's choose three values for x: -4, 0, and 4.
When x = -4:
y = (3/4)(-4) = -3
So we have the point (-4, -3).
When x = 0:
y = (3/4)(0) = 0
So we have the point (0, 0).
When x = 4:
y = (3/4)(4) = 3
So we have the point (4, 3).
Plot these three points (-4, -3), (0, 0), and (4, 3) on the graph using yellow dots.
Draw a straight line passing through these three points in red.
3. y = -1:
For this equation, y will always be -1 regardless of the value of x. So, we can choose any three values of x.
Let's choose -2, 0, and 2.
When x = -2:
y = -1
So we have the point (-2, -1).
When x = 0:
y = -1
So we have the point (0, -1).
When x = 2:
y = -1
So we have the point (2, -1).
Plot these three points (-2, -1), (0, -1), and (2, -1) on the graph using yellow dots.
Since all three points lie on a horizontal line at y = -1, you can draw a horizontal line passing through these points in red.
That's it! You have now graphed the linear equations y = 2x, y = (3/4)x, and y = -1.
Sure! I can explain how to graph linear equations. Let's go step by step for each equation:
1. y = 2x:
- Choose three different x-values. For example, you can choose x = -1, 0, and 1.
- Substitute each x-value into the equation to find the corresponding y-values. For x = -1, y = 2*(-1) = -2. For x = 0, y = 2*0 = 0. For x = 1, y = 2*1 = 2.
- Create a table with the x- and y-values:
x | y
-1 | -2
0 | 0
1 | 2
- Plot the three points (-1, -2), (0, 0), and (1, 2) on the graph, using yellow color.
- Draw a line passing through these three points. It should be a straight line since it's a linear equation. Use a red color for the line.
2. y = (3/4)x:
- Choose three different x-values again. Let's choose x = -4, 0, and 4.
- Substitute each x-value into the equation to find the corresponding y-values. For x = -4, y = (3/4)*(-4) = -3. For x = 0, y = (3/4)*0 = 0. For x = 4, y = (3/4)*4 = 3.
- Create a table with the x- and y-values:
x | y
-4 | -3
0 | 0
4 | 3
- Plot the points (-4, -3), (0, 0), and (4, 3) on the graph in yellow.
- Draw a line passing through these three points using a red color.
3. y = -1:
- Choose three different x-values as before. Let's choose x = -2, 0, and 2.
- Substitute each x-value into the equation to find the corresponding y-values. For x = -2, y = -1. For x = 0, y = -1. For x = 2, y = -1.
- Create a table with the x- and y-values:
x | y
-2 | -1
0 | -1
2 | -1
- Plot the points (-2, -1), (0, -1), and (2, -1) on the graph in yellow.
- Draw a line passing through these three points using a red color.
Remember to label the x-axis, y-axis, and any other relevant details on your graph.
I hope this helps! Let me know if you have any further questions.