Question

16) through: (1, 1) and (2,-4)

Answer 1

Equation of line in Slope intercept form

`y=-5x+6`

Equation of line in Point-slope form

`y-1=(-4-1)/(2-1) (x-1)`

Explanation:

Equation of line

`y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_1)` ----------- (1)

Here

`(x_1. y_1)=(1, 1) \ \ \ and \ \ \ (x_2, y_2)=(2, -4)`

Substituting values in equation (1)

`y-1=(-4-1)/(2-1) (x-1)`

`y-1=-5 (x-1)` (This is equation line in point-slope form)

Simplifying it further

`y=-5x+5+1`

`y=-5x+6` (This is equation of line in slope-intercept form)

Answer 2

y= -5x + 6

Explanation: