What is the standard form equation of the line shown below? y + 1 = 1/2(x + 3)
y=1/2x+5/2
-x + 2y = 1
x-2y = -1

- x + 2y = 1

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 =

with (x₁, y₁ ) = (- 1, 0) 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 = 2 - =

y = x + ← in slope- intercept form

Multiply through by 2

2y = x + 1 ( subtract x from both sides )

- x + 2y = 1 ← in standard form