Question

A)
A line with the equation
is drawn on the coordinate plane. The line is then translated 5units to the left and 2 units up. Which statement is true?
(1 point)
y = 7x − 3
The slope of the translated line becomes 7+5, or 12.
The slope of the translated line becomes 7−5, or 2.
The slope of the translated line becomes 7+2, or 9.
The slope of the translated line remains 7.

Answer 1

The slope stays the same. A translation doesn't change slope.

Check by replacing u = x+5, v = y−2 (since points move left 5 and up 2): y−2 = 7(x+5)−3 → y = 7x + 34, so the slope is still 7.