Question

what is the equation of line passes through (1,3) and the angle from the line with equation y=x+2 to the line is 45°?step by step ​​​​​​​

Answer 1

x = 3 or y = 1

Explanation:

The line with the equation y = x + 2 passes through the point (1,3), because the coordinates of this point satisfy the equation (
`1+2=3`).

Line y = x + 2 has the slope m = 1, that means the angle between this line and positive direction of x-axis is 45°.

Thus, the line which form the angle from the line with equation y=x+2 of 45° is the vertical or horizontal line.

Vertical line has the equation x = 1, horizontal line has the equation y = 3.