The circle in the diagram has the equation {x}^{2}+{y}^{2}=25\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Work out the equation of the \mathrm{tan}gent to the circle at \left(4,3\right)

Awarded Points: 1

Correct Response: y = -\frac{4}{3}x+\frac{25}{3} 

User Response: y = -\frac{4}{3}x+\frac{25}{3} 

The circle in the diagram has the equation {x}^{2}+{y}^{2}=169\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Work out the equation of the \mathrm{tan}gent to the circle at \left(-12,-5\right)

Awarded Points: 0

Correct Response: y = -\frac{12}{5}x-\frac{169}{5} 

User Response: y = -\frac{5}{12}x-\frac{169}{5} 

The circle in the diagram has the equation {x}^{2}+{y}^{2}=100\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Work out the equation of the \mathrm{tan}gent to the circle at \left(-6,8\right)

Awarded Points: 1

Correct Response: y = \frac{3}{4}x+\frac{25}{2} 

User Response: y = \frac{3}{4}x+\frac{25}{2}