what is the slope and y intercept for -2x = 2y+5
To find the slope and y-intercept of the equation -2x = 2y + 5, we need to rewrite the equation into the slope-intercept form (y = mx + b) first.
Starting with -2x = 2y + 5, let's isolate y:
-2x - 5 = 2y
Next, divide the entire equation by 2 to solve for y:
y = (-2/2)x - 5/2
y = -x - 5/2
Now, we can see that the slope (m) is -1 and the y-intercept (b) is -5/2.
To find the slope and y-intercept of the given equation -2x = 2y + 5, we can start by rearranging it into the standard form: y = mx + b, where m represents the slope and b represents the y-intercept.
First, let's move the term involving y to the left side of the equation and the constant term to the right side:
2y = -2x - 5
Next, let's divide the entire equation by 2 to isolate y:
y = (-2/2)x - (5/2)
Simplifying further, we have:
y = -x - 5/2
Now, we can identify the slope and y-intercept:
The slope, m, is the coefficient of x, and in this case, it is -1.
The y-intercept, b, is the constant term, which is -5/2.
Therefore, the slope of the equation -2x = 2y + 5 is -1, and the y-intercept is -5/2.
To find the slope-intercept form of the given equation, -2x = 2y + 5, we need to rearrange the equation to solve for y.
Let's start by isolating y on one side of the equation:
-2x = 2y + 5
By subtracting 5 from both sides, we obtain:
-2x - 5 = 2y
Next, divide the entire equation by 2 to solve for y:
(-2/2)x - 5/2 = y
Simplifying further:
-x - 2.5 = y
Now we have the equation in slope-intercept form, y = mx + b, where m represents the slope, and b represents the y-intercept.
Therefore, the slope is -1, and the y-intercept is -2.5.