Question

The graph of the line y=2x-2 is shown in the figure. If the line is translated 3 units to the left, what is the equation of the new line?

Answer 1

y = 2x + 4

Explanation:

the points (0,-2) and (1,0) lie on the line y=2x-2

if we move these points three units to the left they become:

(-3,-2) and (-2,0) and the slope remains 2

to find the new y-intercept we can take one of the points and plug the x-and-y values into the slope-intercept form of a line, y = mx + b

0 = 2(-2) + b

0 = -4 + b

4 = b

y-intercept is now 4