Answer:
Equation of line in Slope intercept form
[tex]y=-5x+6[/tex]
Equation of line in Point-slope form
[tex]y-1=\frac{-4-1}{2-1} (x-1)[/tex]
Step-by-step explanation:
Equation of line
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex] ----------- (1)
Here
[tex](x_1. y_1)=(1, 1) \ \ \ and \ \ \ (x_2, y_2)=(2, -4)[/tex]
Substituting values in equation (1)
[tex]y-1=\frac{-4-1}{2-1} (x-1)[/tex]
[tex]y-1=-5 (x-1)[/tex] (This is equation line in point-slope form)
Simplifying it further
[tex]y=-5x+5+1[/tex]
[tex]y=-5x+6[/tex] (This is equation of line in slope-intercept form)
