Q 37. - Precalculus Enhanced with Graphing Utilities

Question

Graph the line with slope $\frac{2}{3}$and containing the point $\left(1,2\right)$.

Step-by-Step Solution

Answer

Equation of the line is $2x-3y=-4$ and graph for the equation is shown below.

Step 1. Given information.

Consider the given slope $\left(m\right)=\frac{2}{3}$ and point $\left(1,2\right)$.

Step 2. Formula used.

The formula to find an equation of line is $y-y_1=m\left(x-x_1\right)$.

Substitute the value of $x_1 ,y_1$and $m$.

$$\begin{gathered} y-2=\frac{2}{3}\left(x-1\right) \\ 2x-3y=-4 \end{gathered}$$

$$\begin{gathered} y-2=\frac{2}{3}\left(x-1\right) \\ 2x-3y=-4 \end{gathered}$$

Step 3. Plot the graph.

The graph for the given equation is shown below.