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What is an equation of the line that passes through the points (-4,5) and(-4,-2)?

Sagot :

Assume,

[tex]\begin{gathered} (x_1,y_1)\text{ = ( -4 , 5 )} \\ (x_2,y_2)=(-4,-2)_{} \end{gathered}[/tex]

Equation of line in two point form is given as,

[tex]\begin{gathered} \frac{(y-y_1)}{(y_2-y_1)}=\text{ }\frac{(x-x_1)_{}}{(x_2-x_1)} \\ \frac{(y-\text{ 5)}}{(-2-5)}=\text{ }\frac{x-(-4)}{-4-(-4)} \end{gathered}[/tex]

Simplifying further,

[tex]\begin{gathered} \frac{(y-5)}{-7}\text{ = }\frac{x\text{ + 4}}{0} \\ \\ \frac{(y-5)}{-7}\text{ = 0} \\ y\text{ - 5 = 0} \\ y\text{ = 5} \end{gathered}[/tex]

Thus the required equation of the line is y = 5.

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