Classifying Without Graphing
Determine the number of solutions and classify the system without graphing, by comparing slopes and y-intercepts.
First equation: is already in slope-intercept form.
Second equation: Convert to slope-intercept form by isolating :
Compare slopes and y-intercepts:
- First line: ,
- Second line: ,
Because the slopes are identical () but the y-intercepts differ (), the two lines are parallel and never intersect.
The system has no solution and is inconsistent and independent.
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