Answer:
[tex]y = \frac{1}{7} x - 1 \frac{6}{7} [/tex]
Step-by-step explanation:
In y= mx +b, m is the slope and b is the y-intercept.
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
where (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate
Slope
[tex] = \frac{ - 3 - ( - 2)}{ - 8 - ( - 1)} [/tex]
[tex] = \frac{ - 3 + 2}{ - 8 + 1} [/tex]
[tex] = \frac{ - 1 }{ - 7} [/tex]
[tex] = \frac{1}{7} [/tex]
Substitute m= ⅐ into the equation:
y= ⅐x +b
To find the value of b, substitute a pair of coordinates into the equation.
When x= -1, y= -2,
-2= ⅐(-1) +b
-2= -⅐ +b
b= ⅐ -2
[tex]b = - 1 \frac{6}{7} [/tex]
Thus the equation of the line is [tex]y = \frac{1}{7} x - 1 \frac{6}{7} [/tex].
