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

Question

asked Apr 15, 2022 80.7k views

2 Answers

Igino Boffa · Answer 1 · 2022-04-16T19:31:19+0000

Answer:

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)