Algebra-1

To graph the line that passes through the point (2, -2) with a slope of -4, follow these steps:

 

1. Plot the Given Point

Start by plotting the point (2, -2) on the coordinate plane. This point will be one point on the line.

 

2. Determine the Slope

The slope of -4 means that for every 1 unit increase in x, y decreases by 4 units.

 

3. Find Another Point Using the Slope

From the point (2, -2), apply the slope to find another point on the line.

Move 1 unit to the right (increase x by 1)

Move 4 units down (decrease y by 4)

 

Starting from (2, -2):

New x = 2 + 1 = 3

New y = −2 − 4 = -6

Thus, the new point is (3, -6).

 

4. Plot the New Point

Plot the p...