Respuesta :
Answer:
The slope of line c is 1
Step-by-step explanation:
The given information are;
The coordinates of the points on the line a are; (-3, 3) and (3, -3)
The coordinates of the points on the line b are; (-3, -2) and (2, 3)
Line c ║ line b
Line b ⊥ line a
Line c ⊥ line a
Therefore, we have
The slope, [tex]m_c[/tex] of line c is equal to the slope, [tex]m_b[/tex], of line b Definition of parallel lines (The slopes of parallel lines are equal)
[tex]m_c[/tex] = [tex]m_b[/tex]
Therefore, the slope, m, of the line b is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where, for line b, (x₁, y₁) = (-3, -2) and (x₂, y₂) = (2, 3), we have;
[tex]Slope, \, m_b =\dfrac{3-(-2)}{2-(-3)} = \dfrac{3 + 2}{2 + 3} = 1[/tex]
From [tex]m_c[/tex] = [tex]m_b[/tex] = 1, the slope of line c = 1.
