A line has a slope of 3 and includes the points (7,1) and (4,q). What is the value of q?

1. You are given an angle.
2. Draw a ray with one endpoint. This endpoint will be the vertex of the new angle.
3. Place the compass on the vertex of the given angle and swing an arc that intersects both rays of the given angle.
4. Place the compass on the vertex of the new angle and swing an arc similar to the first one you created.
5. Open the compass to the width of the intersection points of the rays and arc of the given angle.
6. Place the compass on the intersection point of the ray and arc of the new angle and swing another arc that intersects the first.
7. Draw a ray through the new vertex and the intersection point of the two rays.
8. This second ray creates an angle that is congruent to the given one.