Question

1. Find the point of intersection by graphing both lines and observing where they intersect.
Y = -4x + 2
Y = x - 3

Answer 1

To find the point of intersection by graphing, we can plot the two lines and observe where they intersect.

First line: y = -4x + 2
We can start by finding two points on this line.

When x = 0, y = -4(0) + 2 = 2. So we have the point (0, 2).
When x = 1, y = -4(1) + 2 = -2. So we have the point (1, -2).

Plotting these two points and drawing a line through them, we get:

|
|
| . (1, -2)
|
|
_____|_____________________________________
|
| . (0, 2)
|
|
|
|

Second line: y = x - 3
We can again find two points on this line.

When x = 0, y = 0 - 3 = -3. So we have the point (0, -3).
When x = 1, y = 1 - 3 = -2. So we have the point (1, -2).

Plotting these two points and drawing a line through them, we get:

|
|
| . (1, -2) . (0, -3)
|
|
_____|_____________________________________
|
| . (0, 2)
|
|
|
|

Observing the graph, we can see that the two lines intersect at the point (1, -2).