Part 3/5:
To find specific values, consider when y equals zero:
0 = 2x + 2
Rearranging gives us ( 2x = -2 ), leading to ( x = -1 ).
So, one point can be identified as (-1, 0), confirming our line's behavior.
Graphing the Line
Utilizing graphing tools, we can visually represent the equation y = 2x + 2. By plotting this, we see the line intersects the y-axis at (0, 2) and crosses the x-axis at (−1, 0).
These visual tools also allow exploration of various slopes. For example, changing the slope to a negative value, such as -2, would flip the direction of the line, showcasing its downward inclination.