1) Write each of the equations in slope intercept form a) x-y+6=0 e) 2x-5y-5=0 b) x-5=0 f) x-3y+12=0 C) y-3=0 g) 4x-2y+10=0 d) 8x-7y-17=0 h) 3x+5y-15=0

## Step 1: Isolating y in equation a) $x - y + 6 = 0$<br />### Subtract $x$ and 6 from both sides to get $-y = -x - 6$. Then, multiply both sides by -1 to get $y = x + 6$.<br /><br />## Step 2: Isolating y in equation e) $2x - 5y - 5 = 0$<br />### Add 5 and subtract $2x$ from both sides to get $-5y = -2x + 5$. Divide both sides by -5 to get $y = \frac{2}{5}x - 1$.<br /><br />## Step 3: Isolating y in equation b) $x - 5 = 0$<br />### This equation simplifies to $x = 5$, which is a vertical line and cannot be written in slope-intercept form.<br /><br />## Step 4: Isolating y in equation f) $x - 3y + 12 = 0$<br />### Subtract $x$ and 12 from both sides to get $-3y = -x - 12$. Divide both sides by -3 to get $y = \frac{1}{3}x + 4$.<br /><br />## Step 5: Isolating y in equation c) $y - 3 = 0$<br />### This equation simplifies to $y = 3$, which is a horizontal line and is already in slope-intercept form.<br /><br />## Step 6: Isolating y in equation g) $4x - 2y + 10 = 0$<br />### Subtract $4x$ and 10 from both sides to get $-2y = -4x - 10$. Divide both sides by -2 to get $y = 2x + 5$.<br /><br />## Step 7: Isolating y in equation d) $8x - 7y - 17 = 0$<br />### Add 17 and subtract $8x$ from both sides to get $-7y = -8x + 17$. Divide both sides by -7 to get $y = \frac{8}{7}x - \frac{17}{7}$.<br /><br />## Step 8: Isolating y in equation h) $3x + 5y - 15 = 0$<br />### Subtract $3x$ and add 15 to both sides to get $5y = -3x + 15$. Divide both sides by 5 to get $y = -\frac{3}{5}x + 3$.