Question

Given the equation y − 3 = fraction 1 over 2 (x + 6) in point-slope form, identify the equation of the same line in standard form.

Answer 1

Answer: x - 2y = -12

Step-by-step explanation:

$y - 3 = \dfrac{1}{2} (x+6)\\2(y - 3) = (2)\dfrac{1}{2}(x + 6)\\2y - 6 = x + 6\\\underline{-x +6}\quad\underline{-x + 6}\\-x + 2y = 12\\-1(-x + 2y = 12)\\x - 2y = -12$

Answer 2

ANSWER:

-1/2x + y = 6

ABOUT POINT SLOPE FORM:

• y - Y1 = m (x - X1)
• Y1 & X1 is a point on the line
• m represents the slope
• This form allows you to identify the slope & the point on the line

ABOUT STANDARD FORM:

• Ax + By = C
• A & B & C are integers
• A &B are both non - zero
• This form is good to use when wanting to find the x & y intercepts of a line

y - 3 = 1/2 (x + 6)

y - 3 = 1/2x + 3

 + 3            + 3

y = 1/2x + 6

-1/2x   -1/2x

-1/2x + y = 6

I'm not sure if my answer is correct... But please tell me if it's correct or incorrect! Thank you! :)