Q. 24.2( 5 Votes )

# Find the equation of the straight line passing through ( – 2, 3) and indicated at an angle of 45° with the x – axis.

A line which is passing through ( – 2,3), the angle is 45o.

To Find: The equation of a straight line.

Formula used: The equation of line is [y – y1 = m(x – x1)]

Explanation: Here, angle, θ = 45o

SO, The slope of the line, m = tan θ

m = tan 45o

m = 1

The line passing through (x1,y1) = ( – 2,3)

The required equation of line is y – y1 = m(x – x1)

y – 3 = 1(x – ( – 2))

y – 3 = x + 2

x – y + 5 = 0

Hence, The equation of line is x – y + 5 = 0

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