The diagram shows the line \(\ell\).
What is the slope of the line \(\ell\) ?
- \(\dfrac{1}{\sqrt2}\)
- \(-\dfrac{1}{\sqrt2}\)
- \(1\)
- \(-1\)
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The diagram shows the line \(\ell\).
What is the slope of the line \(\ell\) ?
\(C\)
\(\text{Gradient is positive (slopes from bottom left to top right).}\)
\(\tan\,45^{\circ} = 1\)
\(\therefore\ \text{Gradient is 1}\)
\(\Rightarrow C\)
The diagram shows the line \(\ell\).
What is the slope of the line \(\ell\) ?
\(D\)
\(\text{Gradient is negative (slopes from top left to bottom right).}\)
\(\text{The line cuts the \(x\)-axis at an acute angle =}\ 90-60=30^{\circ}\)
\(\tan\,30^{\circ} = \dfrac{1}{\sqrt3}\)
\(\therefore\ \text{Gradient is}\ -\dfrac{1}{\sqrt3}\)
\(\Rightarrow D\)