Respuesta :

The equation of a line with a given point and a slope is given as :

[tex]\text{Slope, m=}\frac{y_{}-y_1}{x-x_1}[/tex]

From the given point in the question;

[tex]x_1=2,y_1=7[/tex]

Thus, we have:

[tex]\begin{gathered} 6=\frac{y-7}{x-2} \\ \text{cross}-\text{multiply} \\ y-7=6(x-2) \\ y-7=6x-12 \\ y=6x-12+7 \\ y=6x-5 \end{gathered}[/tex]

The equation of the line is y= 6x-5

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