Question

Which of the following options represeWrite the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.nts the form of a linear equation that should be used to write the equation of a line when the slope and a point on the line are given? general form standard form factored form point-slope form

Answer 1

The generic equation of the line is:
 y-yo = m (x-xo)
 Where,
 m = (y2-y1) / (x2-x1)
 m = (1-6) / (- 6-6)
 m = (- 5) / (- 12)
 m = 5/12
 We choose an ordered pair:
 (xo, yo) = (6, 6)
 Substituting values:
 y-6 = (5/12) (x-6)
 y = (5/12) x - 2.5 + 6
 y = (5/12) x + 3.5
 y = (5/12) x + 7/2
 Answer:
 the equation of the line is:
 y = (5/12) x + 7/2

Answer 2

Using two-point slope form;
 y-yo = m (x-xo)
 m = (y2-y1) / (x2-x1) m = (1-6) / (- 6-6) m = 5/12

y-yo = 5/12 (x-xo)
use (6,6) as(xo,yo)

 y-6 = (5/12) (x-6)

 y = (5/12) x + 7/2