Q 10. - Precalculus Enhanced with Graphing Utilities

Question

Write the slope–intercept form of the line with the slope $-2$ containing the point $\left(3,-4\right)$.Graph the line.

Step-by-Step Solution

Answer

Slope intercept form of line is $y=-2x+2$

Graph of line is shown below.

Step 1. Given information .

Consider the given slope $-2$ and point $\left(3,-4\right)$.

Step 2. Formula used .

The line intercept form is used to find the line is$y-y_1=m\left(x-x_1\right)$.

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

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

Step 3. Graph the line.

The graph of the line $y=-2x+2$ is shown below.