Answer:
1. parallel
2. no
Explanation:
1. The lines are parallel as they have the same slope and are at different points. Parallel lines means that the 2 lines don't ever meet. It's not the same line because they have different y-intercepts, meaning they are at different points on the graph. They're not intersecting cause like I said, they have the same slope, so they are going up and at the same angle, no way they're going to intersect. And it's not perpendicular as perpendicular lines also require the lines to intersect, which they do not.
2. Plug in (4, 1) into the equation
3x + 2y = 10
3(4) + 2(-1) = 10
12 - 2 = 10
10 = 10, so yeas for this one, now do the other
-2x + y = -7
-2(4) + (-1) = -7
-8 -1 = -7
-9 ≠ -7, so no