Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form. x − 2y = −12
y = one halfx
y = one halfx + 6
y = one halfx + 9

Step-by-step explanation:

We have been given an equation of a line in point-slope form. We are asked to write our given equation in standard form.

Since we know that standard form of equation is:  where, a, b and c are constants.

Let us multiply both sides of our given equation by 2.

Let us add 6 to both sides of our equation.

Let us subtract x from both sides of our equation.

Multiply both sides of our equation by -1.

Rearranging our equation we will get,

Therefore, the standard form of our given equation is

and option A is the correct choice.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: