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a) Can every line be written in slope-intercept form? b) Does every line have two distinct intercepts? c) Are there lines that have no intercepts?
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I would say a - yes b - no c - no Now see you agree
a) no, but almost all can. vertical lines are simply x=#, which isn't slope-intercept because there is no slope to a vertical line. b) no. Horizontal (y=#) and Vertical (x=#) lines have only 1 intercept. c) usually not. But an equation like\[f(x)=\frac{x^2}{x}\] would have a hole at the normal y-intercept, so there is no intercept. But, based on the other questions, You are looking at simple lines. So the answer is no.
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