Answer:
![\boxed{\bf Slope(m)=2.5}](https://img.qammunity.org/2023/formulas/mathematics/college/r05r4kpz8c6us78qi6ungpowjf7yrm99uv.png)
Explanation:
We can use the slope formula to find the slope of a line given the coordinates of two points on the line:- (3,64) and (9,79).
The coordinates of the first point represent x_1 and y_1. The coordinates of the second points are x_2, y_2.
![\boxed{\bf \mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}}](https://img.qammunity.org/2023/formulas/mathematics/college/zw3lq2hzwq9si3dqvf34ojtubct0y7tdcu.png)
![\sf \left(x_1,\:y_1\right)=\left(3,\:64\right)](https://img.qammunity.org/2023/formulas/mathematics/college/55vfa149181vrpm8ra47kmrfjn4z7pasji.png)
![\sf \:\left(x_2,\:y_2\right)=\left(9,\:79\right)](https://img.qammunity.org/2023/formulas/mathematics/college/9t3todng0nm2vl4bp3sctzlsqyox46sa6t.png)
![\sf m=\cfrac{79-64}{9-3}](https://img.qammunity.org/2023/formulas/mathematics/college/qyruzvsi12q9226o270r1vgqkczmg1w08d.png)
![\sf m=\cfrac{5}{2}](https://img.qammunity.org/2023/formulas/mathematics/college/yxqt0apzd81kvpal6n4ntmhfcq7vj33kdm.png)
![\sf m=2.5](https://img.qammunity.org/2023/formulas/mathematics/college/7ynco6zz0t5u0k7fj5rn9qpefx4cogqx46.png)
Therefore, the slope of (3,64) and (9,79) is D) 2.5!!
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Hope this helps!
Have a great day!