The slope of the line is ![m=-\frac{3}{7}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B7%7D)
Explanation:
The points are
and ![(4,-2)](https://tex.z-dn.net/?f=%284%2C-2%29)
We need to find the slope of the line that contains the points
and ![(4,-2)](https://tex.z-dn.net/?f=%284%2C-2%29)
The slope of the equation can be determined using the formula,
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substituting the points
and
in the slope formula, we have,
![m=\frac{-2-1}{4-(-3)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-1%7D%7B4-%28-3%29%7D)
Simplifying the expression, we have,
![m=\frac{-2-1}{4+3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-1%7D%7B4%2B3%7D)
Adding the terms in both numerator and denominator, we have,
![m=\frac{-3}{7}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3%7D%7B7%7D)
The slope of the line that contains the points
and
is ![m=-\frac{3}{7}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B7%7D)
Thus, the slope of the line is ![m=-\frac{3}{7}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B7%7D)