use the red and blue points to graph the lines, y=2/5x+3 and y= -x-4 Use the coordinate plane to graph the lines to find the intersection point, be sure to type your answer in as an ordered pair
To graph the lines y = (2/5)x + 3 and y = -x - 4, we will plot the points and draw the lines:
First, let's graph the line y = (2/5)x + 3:
- Choose a set of x-values, such as -5, 0, and 5.
- Plug each value into the equation to find the corresponding y-values.
- Plot the points (-5, 1), (0, 3), and (5, 5) on the coordinate plane.
- Draw a straight line passing through these points.
Next, let's graph the line y = -x - 4:
- Choose a set of x-values, such as -5, 0, and 5.
- Plug each value into the equation to find the corresponding y-values.
- Plot the points (-5, -1), (0, -4), and (5, -9) on the coordinate plane.
- Draw a straight line passing through these points.
The graph will look like this:
|
5 | ● (5, 5)
|
4 |
|
3 | ● (0, 3)
| ● (-5, 1)
2 |
|
1 |
|
0 ----------------------------------------------------------
| -5 -4 -3 -2 -1 0 1 2 3 4 5
As we can see, the lines intersect at the point (1, -3).
Thus, the intersection point is (1, -3).