1.

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

Answer»

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

To Find: The equation of a straight line. 

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

Explanation: Here, angle, θ = 45° 

SO, The slope of the line, m = tan θ 

m = tan 45° 

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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