[tex]\frac{-3}{7}[/tex] is the slope of the line that contains points (-3, 1) and (4, -2)
Explanation:
Given points: ( - 3, 1) and (4, -2)
To find the slope for two points, have to do divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. The formula for the slope of two points is given as:
[tex]\begin{aligned}\left(x_{1}, y_{1}\right) &=(-3,1) \\\left(x_{2}, y_{2}\right) &=(4,-2) \\\text { slope, } m &=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\end{aligned}[/tex]
Substitute the given points in the above equation, we get
[tex]\text { slope, } m=\frac{-2-1}{4-(-3)}=\frac{-3}{4+3}=\frac{-3}{7}[/tex]
