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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)

Question

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

Solution

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Answer

### a) ### e) ### b) Not possible (vertical line)### f) ### c) ### g) ### d) ### h)

Explanation

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