CEMC Cayley

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. Fractions can be typed as 3/2, and spacing doesn't matter.

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 $4 - 6 = -2$ .

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