Answer:
The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]
Step-by-step explanation:
The coordinates when y = 0, x = 50
When y = 10, x = 60
Therefore, the slope = (10 - 0)/(60 - 50) = 1
The equation in slope and intercept form is y - 10 = 1 × (x - 60)
y = x -60 + 10 = x -50
y = x - 50
Also, we have
When y = 20, x = 30
y = 10, x = 40
Therefore, the slope = (10 - 20)/(40 - 30) = -1
The equation in slope and intercept form is y - 10 = -1 × (x - 40)
y = -x + 40 + 10
y = 50 - x
Therefore, when x < 50, y = 50 - x
When x > 50, y = x - 50
Which is equivalent to [tex]y = \left | x - 50 \right |[/tex]
The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]
