-1=-2x+y
Slope intercept : y=2x-1
To find the slope-intercept form of the equation given, which is in the form y = mx + b, we need to isolate the y-variable on one side of the equation.
Given the equation -1 = -2x + y, we first need to rewrite it in the standard form, which is y = mx + b.
To do this, we can rearrange the equation by moving the y-term to the left side and the other terms to the right side:
-1 - y = -2x
Next, we can rearrange the equation to place the x-term in front of the -1:
-2x = -1 - y
Now, to isolate the x-term, we divide the entire equation by -2:
x = (-1 - y) / -2
Finally, let's rearrange the equation so that y is isolated on one side:
y = -(-1 - y) / 2
Now, simplify the equation:
y = (1 + y) / 2
Further simplifying, we get:
y = 1/2 + y/2
To isolate the y-term, we subtract y/2 from both sides:
y - y/2 = 1/2
To find a common denominator, we can express 1/2 as 2/4:
2y/2 - y/2 = 2/4
Combining similar terms on the left side, we get:
y/2 = 2/4
To simplify, we can multiply both sides of the equation by 2:
2(y/2) = 2(2/4)
y = 4/4
y = 1
Now we have the slope-intercept form of the equation:
y = 2x - 1