Answer:
the measure of the angle formed by given lines is 90°
Step-by-step explanation:
Line 1:
2x - 7y + 6 = 0
- 7y = - 2x - 6
y = [tex]\frac{2}{7}[/tex] x + [tex]\frac{6}{7}[/tex]
Slope of line 1:
[tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex]
Line 2:
14x + 4y - 17 = 0 ⇔ y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{17}{4}[/tex]
Slope of line 2:
[tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex]
[tex]m_{1}[/tex] [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] × [tex]\frac{2}{7}[/tex] = - 1 ⇒ lines are perpendicular
