Answer:
y = 1/2 x + 10
Step-by-step explanation:
The equation should be in format
y = mx + b with m being the slope and b being the y-intercept.
The y-intercept of 5x + y - 10 = 0 is the same as the y-intercept of the unknown equation. The y-intercept of 5x + y - 10 = 0 is 10, so now our unknown equation is y = mx + 10.
Two parallel lines have the same slope but different y-intercepts, so we just need the slope of 2x - 4y = 8, which in the y = mx + b form, is y = 1/2 x - 2. Now, we just copy the slope of y = x/2 - 2 to the slope of the unknown equation, which results in y = 1/2 x + 10.
In conclusion, the unknown equation that is parallel to 2x - 4y = 8 and shares the same y-intercept as 5x + y - 10 = 0 is y = 1/2 x + 10
