Question 1133308
<font color="black" face="times" size="3">The mistake happens in line 2. The person doesn't multiply both sides by 4 properly. Note how the 4 on the right side multiplies with only the 1/4x term and not with the 5 also. 


Instead, you should distribute the outer 4 to each term inside the parenthesis like shown here
4(1/4x + 5) = 4(1/4x) + 4(5) = x + 20


Therefore,
y = (1/4)x + 5
becomes
4y = x + 20
after you multiply both sides by 4 and distribute


From here, we follow similar steps as shown in the given problem to get the equation into Ax+By+C = 0 form


4y = x + 20
4y - x = x + 20 - x ... subtract x from both sides
-x + 4y = 20
-x + 4y - 20 = 20-20 .... subtract 20 from both sides
-x + 4y - 20 = 0</font>