Question

equation of a line which makes an angle 45 degree with the x-axis and having intercept-3 on y axis is​

Answer 1

Answer:

Let assume the equation of the line to be y=mx+c

where x and y are the two coordinates , m is the slope and c is the intercept.

Now we know that

$slope = \tan(theta) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \tan(45) \\ m= 1$

c= intercept =(-3)

y=(1)x+(-3)=x-3

The required line is y=x-3.