Final Answer:
1. $ y = 4x - 2 $
2. $ y = \frac{1}{2}x - 3 $
3. $ y = 3x + 5 $
4. $ y = -\frac{2}{5}x - 2 $
5. $ y = \frac{11}{4}x - 8 $
6. $ y = -x - 15 $
7. $ y = 3x - 5 $
8. $ y = \frac{1}{6}x $
9. $ y = 14x + 7 $
10. $ y = 3x + 5 $
11. $ y = \frac{1}{2}x + 3 $
12. $ y = \frac{7}{4}x \frac{33}{4} $
13. $ y = \frac{2}{3}x + 3 $
14. $ y = -x + 4 $
15. $ y = \frac{24}{3} = 8 $ → Wait—let’s solve #15 carefully:
Equation 15: $ \frac{6y}{y + 8} = 3 $
Multiply both sides by $ y + 8 $:
$ 6y = 3(y + 8) $
$ 6y = 3y + 24 $
$ 3y = 24 $
$ y = 8 $
But this is *not* a linear equation in two variables—it’s just solving for y, and no x appears. So it cannot be written in slope-intercept form $ y = mx + b $, because there is no x.
However, if we treat it as an equation that must hold for all x (which it doesn’t), or if the problem expects us to recognize it's not a line — but given the worksheet title “Writing Equations in Slope-Intercept Form”, and all other problems are linear equations in x and y, likely #15 has a typo.
Let me double-check:
$ \frac{6y}{y+8} = 3 $ → solved gives y = 8, a horizontal line: $ y = 8 $, which *is* in slope-intercept form: $ y = 0x + 8 $. So yes — it
is a line (horizontal), slope 0, y-intercept 8.
So final answer for #15: $ y = 8 $
Thus, corrected full list:
1. $ y = 4x - 2 $
2. $ y = \frac{1}{2}x - 3 $
3. $ y = 3x + 5 $
4. $ y = -\frac{2}{5}x - 2 $
5. $ y = \frac{11}{4}x - 8 $
6. $ y = -x - 15 $
7. $ y = 3x - 5 $
8. $ y = \frac{1}{6}x $
9. $ y = 14x + 7 $
10. $ y = 3x + 5 $
11. $ y = \frac{1}{2}x + 3 $
12. $ y = \frac{7}{4}x + \frac{33}{4} $
13. $ y = \frac{2}{3}x + 3 $
14. $ y = -x + 4 $
15. $ y = 8 $
Parent Tip: Review the logic above to help your child master the concept of writing equations in slope intercept form worksheet.