Question

find the equation of line passing through the origin and inclined to the positive x- axis at 45°​

Answer 1

Step-by-step explanation:

Given:-

the origin and inclined to the positive x- axis at 45°

To find:-

Find the equation of line passing through the origin and inclined to the positive x- axis at 45°?

Solution:-

Given point = The origin = (0,0)

Inclination on X -axis with positive = 45°

We know that

The slope m = Tan θ

We have, θ = 45°

m = Tan 45°

m = 1

Slope = 1

We know that

The equation passes through the point (x1,y1) with the slope m is y-y1 = m(x-x1)

we have x1 = 0 and y1 = 0

=> y-0 = 1(x-0)

=> y = 1(x)

=> y = x

or

x-y = 0

Answer:-.

the equation of line passing through the origin and inclined to the positive x- axis at 45 is y = x

or x-y = 0

Used formulae:-

• The slope of an inclination on positive X-axis is m = Tan θ
• The equation passes through (x1, y1) with slope m is y-y1 = m(x-x1)