Question

The equation of the blue line is y = –x + 5.

Manipulate the orange line by setting the sliders so its slope, m, remains at 1, but its y-intercept, b, is a value other than 5.

Which statement describes the system after the changes?
The lines intersect at the same point as before the changes.
The lines intersect at a different point than before the changes.
The lines do not intersect.
The lines overlap each other.

Answer 1

B. The lines intersect at a different point than before the changes. ☃️❄️

Explanation:

Answer 2

The lines intersect at a different point than before the changes.

Because the orange line will keep the same slope, the orange line will always cross the blue line, but the point where it intersects will change depending on the new value of the y-intercept.