Question

translate "y=7x-3" 5 units to the right and 4 units down

Answer 1

To translate the equation \( y = 7x - 3 \) 5 units to the right and 4 units down, you will modify the equation accordingly.

1. **Translation 5 units to the right**: To move the graph right, you replace \( x \) with \( x - 5 \):
\[
y = 7(x - 5) - 3
\]
Simplifying this gives:
\[
y = 7x - 35 - 3
\]
\[
y = 7x - 38
\]

2. **Translation 4 units down**: To move the graph down, you subtract 4 from the entire expression:
\[
y = 7x - 38 - 4
\]
\[
y = 7x - 42
\]

So, the final equation after translating \( y = 7x - 3 \) 5 units to the right and 4 units down is:
\[
y = 7x - 42
\]