Question

1. rewrite the statements below into conditional (\if ..., then ...\) form

hint:

a. lines with the same slope are parallel.
b. a vertical line has undefined slope.
c. the lines with slopes \\( \frac { 2 } { 3 } \\) and \\( - \frac { 3 } { 2 } \\) are perpendicular.

Explanation:

For each statement, identify the hypothesis (the part that comes after "If") and the conclusion (the part that comes after "then").

• In statement a, the condition is "lines have the same slope" and the result is "they are parallel".
• In statement b, the condition is "a line is vertical" and the result is "it has an undefined slope".
• In statement c, the condition is "lines have slopes $\frac{2}{3}$ and $-\frac{3}{2}$" and the result is "they are perpendicular".

Answer:

a. If lines have the same slope, then they are parallel.
b. If a line is vertical, then it has an undefined slope.
c. If lines have slopes $\frac{2}{3}$ and $-\frac{3}{2}$, then they are perpendicular.