Competition problem — Algebra — Maths Olympiad Prep

Library / /27 of 144

Algebra Difficulty 1.9 Junior Find the answer

What is the $y$ -intercept of the line $y = x + 4$ after it is translated down 6 units?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

The line with equation $y = x + 4$ has a $y$ -intercept of 4. When the line is translated 6 units downwards, all points on the line are translated 6 units down. This moves the $y$ -intercept from 4 to $4 - 6 = -2$ .

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.