Question

Find the equation of the lines passing through the point (1, 1) with y-intercept (– 4)

Answer 1

With y-intercept – 4

The equation the line with slope m and having y – intercept b is y = mx + b   .......(1)

Given b = – 4

∴ (1) ⇒ y = m x – 4

Given this line passes through the point (1, 1)

∴ 1 = m 1 – 4

⇒ m = 5

∴ The required equation is y = 5x – 4