Answer:
[tex]slope=-2\\\\y-intercept=6[/tex]
Step-by-step explanation:
The slope is the change in the y-axis over the change in the x-axis. To find the slope, you need to move vertically from a given point. Once you are horizontal to another point, move over to it. Count the spaces between each:
- Start at (0,6)
- Move down to (0,4). Since you moved down two spaces, use the value -2 to define the rise
- Move to the right to point (1,4). Since you moved to the right 1 space, use the value 1 to define the run.
- Insert the values into [tex]\frac{rise}{run}[/tex] → [tex]\frac{-2}{1}[/tex]
Therefore, the slope is -2.
The y-intercept is where [tex]x=0[/tex] and where the line crosses over the y-axis. The coordinate point where this happens is [tex](0,6)[/tex], so the y-intercept is 6.
:Done
