Question

If the equation y=2x-1 is translated down six units, the new equation would be y= [blank]x - [blank]

a) y=2x-7
b) y=2x+5
c) y=2x-6
d) y=2x+1

Answer 1

The equation y=2x-1 translated down six units results in the new equation y=2x-7.

Step-by-step explanation:

When an equation such as y=2x-1 is translated down by a certain number of units, in this case six units, the y-intercept changes while the slope remains the same. Therefore, to translate the equation down by six units, we subtract six from the y-intercept of the original equation. The original y-intercept is -1; when we subtract six, we get -1 - 6 = -7.

The new equation after translating it down by six units is y = 2x - 7. Hence, the correct option is a) y=2x-7.