Question

Find the equation of the curve through (4,2) whose tangent (for x > 0)
forms an angle with the x-axis, the tangent of which is equal to 1 . Sketch the curve for x
x > 0.
√

Answer 1

tangent is slope.

so for x>0, the slope is 1

constant slope, is straight line.

y=mx+b m=1
2=1*4+b
b=-2
y=x-2 is the equation