Find the equations of the straight lines which cut off an intercept 5

1.	Find the equations of the straight lines which cut off an intercept 5 from the y – axis and are equally inclined to the axes.
Answer» 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 = 45° and θ = (180 – 45) = 135° 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.

Find the equations of the straight lines which cut off an intercept 5 from the y – axis and are equally inclined to the axes.

Answer»

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 = 45° and θ = (180 – 45) = 135°

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.