The slope of the line is [tex]m=-\frac{3}{7}[/tex]
Explanation:
The points are [tex](-3,1)[/tex] and [tex](4,-2)[/tex]
We need to find the slope of the line that contains the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex]
The slope of the equation can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex] in the slope formula, we have,
[tex]m=\frac{-2-1}{4-(-3)}[/tex]
Simplifying the expression, we have,
[tex]m=\frac{-2-1}{4+3}[/tex]
Adding the terms in both numerator and denominator, we have,
[tex]m=\frac{-3}{7}[/tex]
The slope of the line that contains the points [tex](-3,1)[/tex] and [tex](4,-2)[/tex] is [tex]m=-\frac{3}{7}[/tex]
Thus, the slope of the line is [tex]m=-\frac{3}{7}[/tex]
