the table below represents a linear function. identify the slope of the function.\n| x | y |\n| -3 | -9 |\n|…

the table below represents a linear function. identify the slope of the function.\n| x | y |\n| -3 | -9 |\n| 1 | 7 |\n| 5 | 23 |\n| 9 | 39 |

the table below represents a linear function. identify the slope of the function.\n| x | y |\n| -3 | -9 |\n| 1 | 7 |\n| 5 | 23 |\n| 9 | 39 |

Answer

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Select two points

Choose $(x_1,y_1)=(-3,-9)$ and $(x_2,y_2)=(1,7)$

Step3: Substitute into slope formula

$m=\frac{7-(-9)}{1-(-3)}=\frac{7+9}{1+3}=\frac{16}{4}$

Step4: Simplify the fraction

$m=4$ (Verify with other points: e.g., $(1,7)$ and[LLM SSE On Failure]