Mathematics: What is the equation of the line in standard form? a) 3x-y=-6b) x-6y=-9c) x+6y=9d) 3x+y=6

S/15 Step-by-step explanation:...

What is the equation of the line in standard

datboyjulio21

08.01.2022

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 = $\frac{2-1}{3+3}$ = $\frac{1}{6}$ , thus

y = $\frac{1}{6}$ x + c ← is the partial equation

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

Using (3, 2), then

2 = $\frac{1}{2}$ + c ⇒ c = $\frac{3}{2}$ , thus

y = $\frac{1}{6}$ x + $\frac{3}{2}$ ← 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

0,0(0 оценок)