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
4.7
(347 Votes)
Leah
Professional ยท Tutor for 6 years
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
.