Question

explain how I should turn x+2y=12 into y=mx+b form I know the answer is y= - 1/2x+6 but I don't know how my teacher found that answer.

Answer 1

x+2y=12

${\bigstar}$SOLUTION${\bigstar}$

To get above equation in the form of y=mx+b

${\bigstar}$SOLUTION${\bigstar}$

Notice the LHS of the format ,only (y) should be there in the LHS ,so move all others into RHS

➠2y = -x + 12

divide the equation by 2 in order to get y alone in LHS,

➠$\frac{2y}{2}$= $\frac{ - x}{2}$+ $\frac{12}{2}$

➠y = $\frac{ - x}{2}$+6

Thus ,it's your answer .

◆ ━━━━━━━━❪✪❫━━━━━━━━ ◆

SLOPE INTERCEPT FORM :

• It is the special form of linear equations .
• It's general format is

$\boxed{\sf{ y = mx + b }}$

• y = y co-ordinate
• m= slope of the equation
• x = x co-ordinate
• b = y - intercept

• This form helps to find the slope(m) and y-intercept (c) in one equation itself .