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Write the slope intercept form of the equation of the line through the given points.

Explanation, please! Thank you!

Write the slope intercept form of the equation of the line through the given points-example-1
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User Zov
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\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 1}}\quad ,&{{ -2}})\quad % (c,d) &({{ 1}}\quad ,&{{ 3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{3-(-2)}{1-1}\implies \stackrel{und efined}{\cfrac{3+2}{0}}

hmmm, the slope is undefined, that means, is a vertical line then, check the picture below.
Write the slope intercept form of the equation of the line through the given points-example-1
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User Sakovias
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