Add the equation of the straight line that passes through point A (-2; 6)

Add the equation of the straight line that passes through point A (-2; 6) and comes out with a plus direction of the abscis axis of an angle of 135 °.

Equation of a straight line with a known coefficient k and known coordinates of the point x1 and y1, through which the straight line passes:

y – y1 = k (x – x1)

The coordinates of the point are known, and the coefficient k is found as the tangent of the slope of the straight line:

k = tg (135 °) = -1;

y – 6 = (-1) * (x – (-2));

y – 6 = -x – 2;

y = -x + 4;

Checking the y value at x = -2:

y = – (- 2) + 4 = 6.

Answer: y = -x + 4.