What is the equation of a line containing point (2, 5) and has the same slope as the line 4x – 2y = 12?

Answer 1

The slope of the line 4x - 2y = 12 can be found by rearranging the equation and solving for y:

4x - 2y = 12

2x - y = 6

y = 2x - 6

Thus, we see the slope of 4x - 2y = 12 is equal to 2. We can start building the equation of the line containing (2, 5) and leave an variable b representing the y-intercept:

y = 2x + b

Plugging in x = 2 and y = 5 from the given point (2, 5) gives us:

5 = 4 + b

b = 1

So, that leaves us with the answer y = 2x + 1