Question

Find the equation of the line that contains the points (4,2) and (6,10). Write the equation in the form y=mx+b and identify m and b.

Answer 1

Points (4,2) and (6, 10)

Eqn:
y - y = m(x - x)
y - 2 = [(2-10)/(4-6)] (x - 4)
y - 2 = (-8/-2) (x - 4)
y - 2 = 4(x-4)
y - 2 = 4x - 16
y - 2 + 2 = 4x - 16 + 2
y = 4x - 14

Therefore the slope (m) would be 4 and the y intercept (b) would be -14.