Find an equation of the line described. Leave the solution in the form Ax + By = C. The line contains (−3, 9) and (3, −1).

Question

Find an equation of the line described. Leave the solution in the form Ax + By = C.

The line contains (−3, 9) and (3, −1).

Answer 1

line points (-3 ,9) and (3 , -1) .

slop = y₂ - y₁/x₂-x₁ = -1-9/3- -3 = -10/6 = -5/3

y= mx + c

y = -5/3 x + c

-1 = -5/3 • 3 + c

-1+5 = c

c=4

y= -5/3x + 4

3y=-5x+12

5x +3y = 12

5x + 3y = 12 is in tye form Ax + By = C

Answer 2

(-3,9), (3,-1)

the line through the points has slope = m = (9--1)/(-3-3) = -10/6 =-5/3

y = mx + b

y= -5x/3 + b

-1=-5(3)/3 + b

b = -1+5 = 4

y=-5x/3 +4

3y =-5x +12

5x + 3y = 12 A=5, B=3, C=12

Answer 3

Use two-point form (from Algebra 1)

(y - 9) / (x + 3) / (-1 -9) / (3 + 3)