Question

Find the equation of the given line.Find the equation of the line passing through (2, 4) with slope 9.y =

Answer 1

We know that

• The slope is 9.

,

• The line passes through the point (2, 4).

We have to use the point-slope formula.

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

Where,

`\begin{gathered} y_1=4 \\ x_1=2 \\ m=9 \end{gathered}`

Replacing these values, we have.

`y-4=9(x-2)`

Now, we solve for y.

`\begin{gathered} y-4=9x-18 \\ y=9x-18+4 \\ y=9x-14 \end{gathered}`

Therefore, the equation of the line is y = 9x - 14.