Complete the equation of the line through (-8,-2) and (-4,6) Use exact numbers. y=

Question

Complete the equation of the line through (−8,−2)left parenthesis, minus, 8, comma, minus, 2, right parenthesis and (−4,6)left parenthesis, minus, 4, comma, 6, right parenthesis.Use exact numbers.

Answer 1

(-8,-2) and (4,-6) have a line through them with slope = (-6+2)/(4+8) =-4/12 =-1/3 = (y+2)/(x+8)

y+2 = (-1/3)(x+8)

y =(-1/3)x -8/3 -2

y =(-1/3)x-14/3 in slope intercept form

or

3y=-x-14

x+3y +14 = 0 in general form, eliminating fractions and negative signs