Answer:
The equation in point-slope form is [tex]y-4=-\frac{5}{6}(x+1)[/tex]
Step-by-step explanation:
Given points are;
(-1, 4) and (11, -6)
We will find the slope of the line through the given points.
Slope = m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{-6-4}{11-(-1)}[/tex]
m = [tex]\frac{-10}{12}[/tex]
m = [tex]\frac{-5}{6}[/tex]
Point slope form of a line is given by;
[tex]y-y_1=m(x-x_1)[/tex]
Putting the point (-1,4) and slope in the equation
[tex]y-4=-\frac{5}{6}(x-(-1))\\y-4 =-\frac{5}{6}(x+1)[/tex]
Hence,
The equation in point-slope form is [tex]y-4=-\frac{5}{6}(x+1)[/tex]
