Question

The equation of the line passing through (4, – 6) and makes an angle 45 degree with positive x–axis, is

Answer 1

Answer:

the required equation of the straight line is y = x -10 .

Step-by-step explanation:

General form of an equation of a straight line in cartesian 2D geometry is,

y = mx + c , where m is the slope of the line about X-axis ,

i.e. m = tan ∅  where ∅ is angle of the straight line with positive X-axis .

and , c is the intercept of the straight line with the Y-axis.

Given, ∅ = 45° ⇒ tan45° = 1

the required straight line passes through the point (4 ,-6).

then , y = mx + c

⇒(-6) = (1×4) + c

⇒c = (-6) + (-4) = (-10)

∴ The required equation of the straight line is , y = x - 10