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The slope of the line that passes through the following points is undefined
<em><u>Solution:</u></em>
Given that, We have to find the slope of line passing through two points
Given points are (-1, 5) and (-1, 6)
<em><u>The slope of line is given by formula:</u></em>
From given,
<em><u>Substituting the values we get,</u></em>
Thus the slope is undefined
Remark
If there are 5 distinct zeros that means either that the x axis is crossed the x axis 5 different places or touched the x axis in 1 place out the 5. Touching in one place means that an even number of roots are the same.
So let's go through all of them to get an answer of 5.
A has 4 x intercepts. It is not the right answer. We need 5.
B has 4 x intercepts. It is not the right answer. We need 5.
C has 6 x intercepts. Not the one we want.
D has 5 x distinct zeros. The wording is a bit tricky. It does not matter than one of them just touches the x axis. There could be an even number of distinct zeros there, but it only counts as one root.
An example of such a graph is f(x)=
Answer D <<<<<
If there are 5 distinct zeros that means either that the x axis is crossed the x axis 5 different places or touched the x axis in 1 place out the 5. Touching in one place means that an even number of roots are the same.
So let's go through all of them to get an answer of 5.
A has 4 x intercepts. It is not the right answer. We need 5.
B has 4 x intercepts. It is not the right answer. We need 5.
C has 6 x intercepts. Not the one we want.
D has 5 x distinct zeros. The wording is a bit tricky. It does not matter than one of them just touches the x axis. There could be an even number of distinct zeros there, but it only counts as one root.
An example of such a graph is f(x)=
Answer D <<<<<