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Calculate the slopes of the lines and find their product.
No, see solution.
If our friend is correct and the path of the puck forms a right angle, then the two lines that form the path are perpendicular. Slopes of perpendicular lines are negative reciprocals, meaning their product is - 1. To check this, we first have to find the slopes.
From the graph we can tell that the line passes through the points (- 4,0) and (0,8). Let's substitute these points into the Slope Formula.
Substitute ( -4,0) & ( 0,8)
The second line passes through the points (0,8) and (- 4,16). Again, we will substitute these two points into the Slope Formula to find the slope of the second line that makes the path.
Substitute ( 0,8) & ( -4,16)
Subtract terms
Put minus sign in front of fraction
Calculate quotient
The slope of the second line is - 2.
Let's multiply our slopes and check if the product equals - 1.
m_1= 2, m_2= - 2
a(- b)=- a * b
Multiply
Since the product of the slopes is not - 1, the lines are not perpendicular. Consequently, our friend was incorrect.