Question

Find a linear function with slope $-3$that contains the point $(-1,4)$. Graph the function.

Short answer

The graph of the function is

Step-by-step solution

Step 1. Given Information

The given data is a function with slope$-3$and point$(-1,4)$

Step 2. Calculation

Use the slope intercept form to find the linear equation by first finding the y-intercept.

$$\begin{gathered} y=mx+c \\ 4=(-3)(-1)+c \\ c=4-3 \\ c=1 \end{gathered}$$

Thus, the linear function is$y=-3x+1$

Step 3. Graph

Graph the function by taking random values as follows,

Plot the points and graph the function.