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Calculate the slopes of the lines using the Slope Formula.
Are the Lines Parallel, Perpendicular, or Neither? Neither
Graph:
In order to determine the relationship between the lines, let's calculate each of their slopes.
We are given the points R(5,- 4) and S(10,0), which lie on RS. Let's substitute them into the Slope Formula and calculate the slope.
Substitute ( 5,- 4) & ( 10,0)
a-(- b)=a+b
Add and subtract terms
Similarly, by substituting the points J(9,- 8) and K(5,- 13) into the Slope Formula, we can calculate the slope of JK.
Substitute ( 9,- 8) & ( 5,- 13)
a-(- b)=a+b
Add and subtract terms
- a/- b=a/b
Now that we know the slopes of the lines, we can determine whether they are parallel, perpendicular, or neither. Remember that parallel slopes are the same and perpendicular slopes are opposite reciprocals. m_1=4/5 m_2=5/4 From here, we can conclude that the lines are neither perpendicular nor parallel.
Let's graph the lines to verify that they are neither perpendicular nor parallel. We do can this by plotting the points and drawing lines through them.
As we can see, the lines are neither perpendicular nor parallel.