Find the equations of the straight lines which cut off an intercept 5 from the y – axis and are equally inclined to the axes.
A line which cut off an intercept 5 from the y – axis are equally to axes.
To Find: Find the equation
The formula used: The equation of the line is y = mx + c
Explanation: If a line is equally inclined to the axis, then
Angle θ = 45o and θ = (180 – 45) = 135o
Then, The slope of the line, m = tan θ
m = 1
Since, the intercept is 5, C = 5
Now, The equation of the line is y = mx + c
y = 1x + 5
y – x = 5
Hence, The equation of the line is y – x = 5.