Question
-2=3/2 x+(x+2) in slope intercept form
Answers
GPT 3.5
To express the equation -2 = (3/2)x + (x + 2) in slope-intercept form, we need to isolate the term with the variable "x" and solve for "y". Here are the steps to accomplish this:
1. Begin by moving the constant term "2" to the other side of the equation by subtracting 2 from both sides:
-2 - 2 = (3/2)x + (x + 2) - 2.
This simplifies to:
-4 = (3/2)x + x.
2. Combine the "x" terms by finding a common denominator and adding the fractions:
-4 = (3/2)x + (2/2)x.
This simplifies to:
-4 = (5/2)x.
3. To isolate "x", we need to get rid of the fraction. Multiply both sides of the equation by 2 to cancel out the denominator:
-4 * 2 = (5/2)x * 2.
This simplifies to:
-8 = 5x.
4. Divide both sides of the equation by 5 to solve for "x":
-8/5 = 5x / 5.
This simplifies to:
-8/5 = x.
Therefore, the slope-intercept form of the equation -2 = (3/2)x + (x + 2) is:
y = -8/5.
1. Begin by moving the constant term "2" to the other side of the equation by subtracting 2 from both sides:
-2 - 2 = (3/2)x + (x + 2) - 2.
This simplifies to:
-4 = (3/2)x + x.
2. Combine the "x" terms by finding a common denominator and adding the fractions:
-4 = (3/2)x + (2/2)x.
This simplifies to:
-4 = (5/2)x.
3. To isolate "x", we need to get rid of the fraction. Multiply both sides of the equation by 2 to cancel out the denominator:
-4 * 2 = (5/2)x * 2.
This simplifies to:
-8 = 5x.
4. Divide both sides of the equation by 5 to solve for "x":
-8/5 = 5x / 5.
This simplifies to:
-8/5 = x.
Therefore, the slope-intercept form of the equation -2 = (3/2)x + (x + 2) is:
y = -8/5.