Algebra-1

To graph the line that passes through the point (1, 2) and has a slope of −2, follow these steps:

 

1. Plot the Given Point

Start by plotting the point (1, 2) on the coordinate plane. This point is where the line intersects the coordinate axes.

 

2. Use the Slope to Find Another Point

The slope −2 means that for every 1 unit increase in x, y decreases by 2 units.

From the point (1, 2):

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

Move 2 units down (decrease y by 2 × 1 = 2)

 

Calculate the new point:

New x = 1 + 1 = 2

New y = 2 − 2 = 0

So, the new point is (2, 0).

 

3. Plot the New Point

Plot the p...