What is an equation of the line that passes through the points left bracket, minus, 6, comma, minus, 6, right bracket(−6,−6) and left bracket, 3, comma, 6, right bracket(3,6)?

Answer 1

a line through points (-6,-6) and (3,6)

has slope = difference in y's over difference in x's = (6--6)/(3--6) = 12/9=4/3 = (y-3)/(x-6)

4/3 = (y-6)/(x-3)

y-6 = (4/3)(x-3) = 4x/3 - 4

y = 4x/3 -4+6 = 4x/3 +2

y = 4x/3 +2

check the answer, plug in the points

-6 = 4(-6)/3 +2 = -24/3 +2 =-8+2=-6

check the other point (3,6)

6= 4(3)/3+ 2 = 4+2=6

it works