Question

A line cutting off intercept – 3 from the y-axis and the tangent at angle to the x-axis is 3/5, its equation is

A. 5y – 3x + 15 = 0

B. 3y – 5x + 15 = 0

C. 5y – 3x – 15 = 0

D. None of these

Answer 1

Given that:

tan θ = 3/5

We know that,

Slope of a line, m = tan θ

Slope of line, m = 3/5

Since, the lines cut off intercepts – 3 on y – axis then the line is passing through the point (0, -3).

So, the equation of line is

y – y₁ = m(x – x₁)

⇒ 5y + 15 = 3x

⇒ 5y – 3x + 15 = 0

Hence, the correct option is (a)