Question

Please solve it this is very important.

Find the equation of straight line through the point (2,1) and making an angle of 45° with the x-axis. Show that the line passes through the point (0, -1). ​

Answer 1

see explanation

Explanation:

The slope m of the line = tan45° = 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c

To find c substitute (2, 1 ) into the equation

1 = 2 + c ⇒ c = 1 - 2 = - 1

y = x - 1 ← equation of line

When x = 0 then y = 0 - 1 = - 1

The line passes through (0, - 1 )