Question

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

Answer 1

Answer:

y= -5x + 6

Step-by-step explanation:

Answer 2

Answer:

Equation of line in Slope intercept form

$y=-5x+6$

Equation of line in Point-slope form

$y-1=\frac{-4-1}{2-1} (x-1)$

Step-by-step explanation:

Equation of line

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$   ----------- (1)

Here

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

Substituting values in equation (1)

$y-1=\frac{-4-1}{2-1} (x-1)$

$y-1=-5 (x-1)$     (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)