Chapter SR28, Problem 1P

Solution

Rewrite the conditional statement in if-then form. Then write its converse and tell whether the converse is true or false.

True.

Given:

The graph of the equation y = mx + b is a line.

Concept used:

• A conditional statement has two parts, a hypothesis and a conclusion. When a conditional statement is written in if-then form, the “if” parts contains the hypothesis and the “then” part contains the conclusion.
• The converse of a conditional statement is formed by switching the hypothesis and the conclusion.

Calculation:

Given - The graph of the equation y = mx + b is a line.

If-then form: If the equation is y = mx + b then its graph is a line.

Converse: If the graph is a line then its equation will be y = mx + b.

True.