What is an equation of the line that passes through the points (−6,−3) and (−3,−5)?

Answer 1

plot the points, connect a line through them. it's downward sloping. slope is negative

(-6, -3) and (-3, -5) have slope equal to the difference in y values divided by the difference in x values

= (-3--5)/(-6 --3) = 2/-3 = -2/3

-2/3 = (y+5)/(x+3)

y+5 = (-2/3)x - 2

y = -2x/3 -2 -5

y = -2x/3 -7 in slope intercept form with slope = -2/3 and intercept = -7

or

3y = -2x -21

or

2x +3y = -21 in standard form