Answer:
y = 1/2x+1/2
Step-by-step explanation:
The ax+by+c=0 that is confusing you is just the standard form of a linear equation. It is supposed to help you formulate the linear equation. In this case, a = 1, b = -2, c = 1
Therefore,
1x -2y + 1 =0
Now, you said that you are confused on how to isolate and solve for one variable; in this case, you can't. But, you can switch around the places of the variables to solve for one variable. In this case, its best to solve for y, since linear equations are easier to understand written in Slope-intercept form:
y = mx+b
Now, you must be really confused, but look at the work I am about to do so you can learn how to make this easier for you!
1x -2y + 1 =0
-1x -1x --> Subtract 1x from both sides to isolate the y variable to the left side and to keep the equation balanced
-2y + 1=0 -1x
-1 -1 --> Subtract 1 from both sides to isolate the y variable further and to keep the equation balanced
-2y = -1x-1
(-2y/-2) = ((-1x-1)/-2) --> Divide by -2 on both sides to isolate the y variable even further and to keep the equation balanced
y = 1/2x+1/2
y = mx+b
This is written in slope-intercept form. It is called as such since it gives you the slope (written in front of the x variable,in this case 1/2; m = 1/2) and the y-intercept (the letter b; in this case b = +1/2). The y-intercept is where the x coordinate is equal to zero, but it is the place where the line crosses the y-axis. So your b = 1/2, which means that your y-intercept is (0, 1/2)
These are all things you use to graph a line and helps to make it easier to graph them!
Final Answer:
y = 1/2x+1/2
