Problem 110
Question
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Every line in the rectangular coordinate system has an equation that can be expressed in slope-intercept form.
Step-by-Step Solution
Verified Answer
The statement is false. Not every line in a rectangular system can be expressed in slope-intercept form. Vertical lines cannot be expressed in this form.
1Step 1: Understanding the Statement
The statement says that every line in the rectangular coordinate system can be presented in a slope-intercept form. This is applicable for linear equations other than vertical lines.
2Step 2: Evaluate the Statement
A vertical line in a rectangular coordinate system doesn't have a slope, hence it cannot be expressed using the slope-intercept form. Therefore, the statement is false.
3Step 3: Correct the Statement
To correct the statement, we need to include the exception. The corrected statement can be: 'Every line in the rectangular coordinate system has an equation that can be expressed in slope-intercept form, except for the vertical lines.'
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