Question

The equation of a straight line whose y intercept is 3 and inclined at an angle of ${45}^{\circ }$ 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

Given ,
y-intercept = 3 = c
$\theta$ =${45}^{\circ }$

$\Rightarrow$ Slope(m) = tan ${45}^{\circ }$ = 1
Equation of the line in slope - intercept form is:
y = mx + c
$\therefore$ y = x + 3