To find the slope of the line given the points (-6,0) and (0,6), we can use the formula: m = (y2 - y1) / (x2 - x1).
m = (6 - 0) / (0 - (-6)) = 6/6 = 1
Using point-slope form, we can write the equation of the line as:
y - 0 = 1(x + 6)
y = x + 6
To get the inequality we just need to change the equation to the inequality by replacing the equal sign with the inequality sign.
So the linear inequality for the points (-6,0) and (0,6) is:
y > x + 6