Question

Find the equation of the line through (1, 3) and making an intercept of 5 on the y-axis.

Answer 1

Since, y-intercept = 5, so the corresponding point on y-axis is (0, 5).

The line passes through (1, 3).

Slope of the line =

Required equation of the line is given by:

y - y₁ = m(x - x₁)

y - 5 = -2(x - 0)

y - 5 = -2x

2x + y = 5