How do you find the slope and intercept of #y-x=-6#?
slope = 1
y-intercept = - 6
One form of the equation of a line is
#color(blue) " y = mx + c "#
where m represents the gradient (slope) and c , the y-intercept.
rearrange y - x = -6 into this form and read off m and c.
hence y = x - 6 and slope = 1 , y-intercept = - 6