Answer:
b)
The equation of the line that passes through a pair of points
[tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]
Step-by-step explanation:
Explanation:-
Given points are ( 5 ,-2) and ( 3,-1)
slope of the line
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}[/tex]
The equation of the line that passes through a pair of points
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
[tex]y - (-2) = \frac{-1}{8} ( x - (5) )[/tex]
[tex]y = \frac{-1}{8} ( x ) +\frac{5}{8} -2[/tex]
[tex]y = \frac{-1}{8} ( x ) +\frac{5-16}{8}[/tex]
[tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]
