Question

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

Answer 1

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

We use the point-slope formula.

`y-y_1=m(x-x_1)`

Where,

`\begin{gathered} x_1=1 \\ y_1=4 \\ m=9 \end{gathered}`

Replacing these values, we have

`\begin{gathered} y-4=9(x-1) \\ y-4=9x-9 \\ y=9x-9+4 \\ y=9x-5 \end{gathered}`

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