Hi! Your answer is m = 4 or slope is 4.
Make sure to read an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Explanation:
To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:
![\large\boxed{m=(y_2-y_1)/(x_2-x_1)}](https://img.qammunity.org/2022/formulas/mathematics/college/b0oay1s8sb7cs21lhql4xmfjkrf46bnb3y.png)
The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".
From (2,4) and (3,8). We substitute the given coordinate points in the formula.
![\huge{m=(8-4)/(3-2)}\\\huge{m=(4)/(1)}\\\huge{m=4}](https://img.qammunity.org/2022/formulas/mathematics/college/9e9eds3f31ymy7xsjlp629t7iffx9lrtcw.png)
Hence, the slope is 4.
Additional Note
- m-term comes from y = mx+b where m is defined as slope in slope-intercept form. Therefore, m = slope.
Hope this helps!