What would be the linear equation for this function, & the graph?? (X_1,Y_1)=(3,6), (X_2,Y_2)=(3,-5)

Question
Linear equations and graphs
asked 2020-12-13
What would be the linear equation for this function, & the graph??
\(\displaystyle{\left({X}_{{1}},{Y}_{{1}}\right)}={\left({3},{6}\right)},{\left({X}_{{2}},{Y}_{{2}}\right)}={\left({3},-{5}\right)}\)

Answers (1)

2020-12-14
Formula used:
\(\displaystyle{m}={\tan{\theta}}\)
To find the slope m:
points \(\displaystyle{\left({x}_{{1}},{y}_{{1}}\right)}={\left({3},{6}\right)}{\left({x}_{{2}},{y}_{{2}}\right)}={\left({3},-{5}\right)}\)
\(\displaystyle{m}=\frac{{-{5}-{6}}}{{{3}-{3}}}\)
\(\displaystyle{m}=-\frac{{11}}{{0}}\)
\(\displaystyle{m}=\infty\)
Since,
\(\displaystyle{m}={\tan{\theta}}\)
Therefore,
\(\displaystyle\infty={\tan{\theta}}\)
\(\displaystyle\theta=\frac{\pi}{{2}}\)
This shows that the equation of this line will be x=c.
Where c=3
Graph of equation is given below:
image
0

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