Answer:
Step-by-step explanation:
(3,4) ; (6,-1)
slope = y₂ - y₁ / x₂-x₁
= -1 - 4 / 6-3
= -5/3
The slope of the line joining the points (3,4) and (6,-1) is [tex]\frac{-5}{3}[/tex]
Solution:
Given two points are (3, 4) and (6, -1)
We need to find the slope of the line
The slope of line when two points are given:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the x and y points of given two lines
Here in this problem,
[tex]x_1 = 3 and y_1 = 4 and x_2 = 6 and y_2 = -1[/tex]
Substituting the values we get,
[tex]m=\frac{-1-4}{6-3}=\frac{-5}{3}[/tex]
Hence slope of given line is [tex]\frac{-5}{3}[/tex]
