Question

write the equation of a line in slope intercept form that contains the points ( - 5,2 ) and ( 1, - 4 )

Answer 1

Equation of a line is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1)

y - 2 = ((-4 - 2)/(1 - (-5))(x - (-5))
y - 2 = (-6/(1 + 5))(x + 5)
y - 2 = (-6/6)(x + 5)
y - 2 = -1(x + 5)
y - 2 = -x - 5
y = -x - 5 + 2
y = -x - 3