Answer:
[tex]slope=-1\\\\y-intercept=2\\\\y=-x+2[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b[/tex]
where:
- m is the slope
- b is the y-intercept
- x and y are corresponding coordinate points (x,y)
Starting on the red point, move down, then to the right to reach another point:
[tex]\frac{rise}{run}=slope\\\\\frac{vertical}{horizontal}=\frac{-1}{1}=-1[/tex]
The slope is 1. Insert the value:
[tex]y=-1x+b\\\\y=-x+b[/tex]
Find the value of b. The y-intercept is where x=0. The red point is at (0,2). The value of x is 0, so the y-intercept is 2. Insert:
[tex]y=-x+2[/tex]
:Done
