What is the equation of the line in standard form?

a) 3x-y=-6

b) x-6y=-9

c) x+6y=9

d) 3x+y=6

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (3, 2)

m = = , thus

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2), then

2 = + c ⇒ c = , thus

y = x + ← in slope- intercept form

Multiply through by 6

6y = x + 9 ( subtract 6y from both sides )

0 = x - 6y + 9 ( subtract 9 from both sides )

- 9 = x - 6y, that is

x - 6y = - 9 ← in standard form → B

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step-by-step explanation: