Question

please help ;/ what is the slope-intercept form of (-6,-3) and (6,-7)

Answer 1

slope intercept form is
y-y1=m(x-x1)
where m is slope and (x1,y1) are the coordinates of passing through point.

(-6,-3) and (6,-7)
$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 7 - ( - 3)}{6 - ( - 6)} = \frac{ - 7 + 3}{6 + 6} \\ m = \frac{ - 4}{12} = \frac { - 1}{3} \\ slope \: intercept \: form \\ y - y1 = m(x - x1) \\ y - ( - 7) = \frac{ - 1}{3} (x - 6) \\ y + 7 = \frac{ - 1}{3}(x - 6) \\3( y + 7) = - (x - 6) \\ 3y + 21 = - x + 6 \\ x + 3y = 6 - 21 \\ x + 3y = - 15$