If a line has a positive slope, what can be said of the angle it makes with the positive x-axis?
If a line has a positive slope, what can be said of the angle it makes with the
A positive slope means the line is increasing from left to right. Now it can’t tilt; it
can’t move. However, if the line goes directly vertical up and down, it’s considered an
undefined slope. Or, if it were horizontal, it would be zero slope.
So it has to be somewhere between the vertical line and the horizontal line. This means the
angle that would be formed between the positive slope and the positive 𝑥-axis is that — it must
be an acute angle. It must be less than ninety degrees. Because like we said, it has to be between
the undefined slope and the zero slope. So it has to stay essentially with the ninety degrees.
So it can’t be exactly ninety degrees because that would be the up and down undefined slope,
and it couldn’t be zero degrees because that’s a zero slope.
So if we need a positive slope, then it needs to stay between those. So it must be an acute
angle, which is between zero and ninety degrees.
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