Respuesta :
The slope of the line passing through the given point (-3, -1), (2, 8) is [tex]\frac{9}{5}[/tex]
Solution:
Given that two points are (-3, -1) and (2, 8)
We have to find the slope of line passing through these two points
The slope "m" of the line passing through two points [tex](x_1, y_1) \text{and} (x_2, y_2)[/tex] is given as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here [tex]x_1 = -3 ; y_1 = -1 ; x_2 = 2 ; y_2 = 8[/tex]
Substituting the given values in formula,
[tex]m = \frac{8 - (-1)}{2 - (-3)}[/tex]
On solving we get,
[tex]m = \frac{8 + 1}{2 + 3}\\\\m = \frac{9}{5}[/tex]
Thus the slope of line is [tex]m = \frac{9}{5}[/tex]
