Question

find the equation of the line containing the given pair (-2,-4) and (-6,-5)

Answer 1

find the slope by using slope formula:
slope(m) = (y2 - y1) / (x2 - x1)
(-2,-4) x1 = -2 and y2 = -4
(-6,-5) x2 = -6 nd y2 = -5
now sub
slope(m) = (-5 - (-4) / (-6 - (-2)
slope(m) = (-5 + 4) / (-6 + 2)
slope(m) = -1/-4
slope(m) = 1/4

now we use y = mx + b
slope(m) = 1/4
you can use either of your points....I will use (-2,-4) x = -2 and y = -4
now we sub
-4 = 1/4(-2) + b
-4 = - 1/2 + b
-4 + 1/2 = b
-8/2 + 1/2 = b
-7/2 = b

your line is : y = 1/4x - 7/2