Question

The point-slope of the equation of the line with slope 3 passing through the point (1,2) is .

Short answer

The point Slope form of the straight line is $y=3x-1$.

Step-by-step solution

Step 1. Point slope form of a straight line. 

If be the Slope form of straight line and $\left(x_1,y_1\right)$ be the point passing through the straight line then the equation of the straight line is$\left(y-y_1\right)=m\left(x-x_1\right)$

Step 2. Given conditions.

The slope of the line is and the line is passing through the point $\left(1,2\right)$

Step 3. Evaluating the point-slope form.

Equation of line is given by

$$\begin{gathered} \left(y-y_1\right)=m\left(x-x_1\right) \\ \left(y-2\right)=3\left(x-1\right) \\ y-2=3x-3 \\ y=3x-3+2 \\ y=3x-1 \end{gathered}$$