Answer:
The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.
Explanation:
The slope of a line is denoted by m and is calculated using the formula:
![m = (y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qpav2tpezfjoebw1smt5zxyas28f0tlb4m.png)
Here
are the coordinates of the first point on line and
are the coordinates of the second point on line
Given two points are:
(x1,y1) = (-2, 2)
(x2,y2) =(3, 4)
Putting the values in the formula
![m = (4-2)/(3-(-2))\\m = (2)/(3+2)\\m=(2)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/w4kyr77sr9v5nz3w6j5nj6zwhhbgc7njqg.png)
Hence,
The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.