Question

The equation of the straight line making an intercept of 3 units on the y-axis and inclined at ${45}^{\circ }$ to the x-axis is

• A. y=x-1
• B. y = x + 3
• C. y = 45x + 3
• D. y = x + 45

Answer 1

The correct option is B

y = x + 3

Clearly we are given y-intercept = 3

Also $\theta$ =${45}^{\circ }$ $\Rightarrow$ Slope(m) = tan ${45}^{\circ }$ = 1

$\therefore$ Equation of the line in slope - intercept form isy = mx + c i.e. y = x + 3