Stephanos T. answered 05/14/20
Experienced Mathematics Tutor With a Bachelors in Mathematics
We want to know if the point lies on the line. So let's check the point by plugging it in. If y=-x and our x-coordinate is -7 and our y-coordinate is 7, then for it to be a solution, it must satisfy the equation.
So: 7=-(-7) and the double negative makes a positive, so we have 7=7 which is true. Hence, (-7,7) is a solution to y=-x.
Hope this helps!