Question

Find the equations 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 = `(5 - 3)/(0 - 1) = 2/(-1) = -2`

Required equation of the line is given by:

y − y₁ = m(x − x₁)

y − 5 = −2(x − 0)

y − 5 = −2x

2x + y = 5