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Find the equation of the line:Through :(1, 4), slope=9

Sagot :

We know that the line passes through (1,4) and it has a slope of 9.

We use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

Where,

[tex]\begin{gathered} x_1=1 \\ y_1=4 \\ m=9 \end{gathered}[/tex]

Replacing these values, we have

[tex]\begin{gathered} y-4=9(x-1) \\ y-4=9x-9 \\ y=9x-9+4 \\ y=9x-5 \end{gathered}[/tex]

Therefore, the equation is y = 9x - 5.