Math Equation Needed

Question

Graph the line that passes through the points (−4,−3) and(−1,−6) and determine the equation of the line.

Answer 1

(-4,-3) (-1,-6)

(-3+6)/(-4+1) = 3/-3 = -1 = slope of the line = m

y=mx + b

y=(-1)x + b, plug in either point to solve for b

-3 =(-1)(-4) + b

b =-3 -4 = -7

y=-x-7 is the equation of the line through the two points, downward sloping at a -45 degree angle, with y intercept =-7 or the point (0,-7), x intercept is (-7,0)