Answer:
9. d) y = 3/2x +1
10. b) y = x +4/3
Explanation:
You want to rewrite the given linear equations into slope-intercept form.
- 2 = -5x +(2y +2x)
- 4 = -6x +3y +3x
Solve for y
Essentially, these problems require you solve each equation for y to put it into "y =" form. The steps generally are to collect terms, subtract the x-term, and divide by the y-coefficient.
9. 2 = -5x +(2y +2x)
The parentheses can be eliminated, and the x-terms added to give ...
2 = -3x +2y
Adding the opposite of the x-term to both sides, we have ...
3x +2 = 2y
Dividing by 2 gives the desired form:
y = 3/2x +1
10. 4 = -6x +3y +3x
Adding the x-terms, we have ...
4 = -3x +3y
Adding the opposite of the x-term gives ...
3x +4 = 3y
Dividing by 3 puts the equation into the desired form:
y = x +4/3