What is the equation of the line whose y-intercept is $$ - \frac{3}{4}$$ and making an angle of 45° with the positive x-axis?

Solution (By Examveda Team)

Standard equation of the line y = mx + c
∴ m = tanθ = tan45° (θ = 45°)
Given
m = 1
∴ c = $$ - \frac{3}{4}$$
New required equation of the line ⇒ y = mx + c
⇒ y = 1 × x $$ - \frac{3}{4}$$
⇒ 4y = 4x - 3
⇒ 4x - 4y = 3