Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 9
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 5
y = –3x – 11y
y = –3x + 25

y = - x + 5

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 ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)

m = = = - , thus

y = - x + c ← is the partial equation

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

Using (- 3, 6 ), then

6 = 1 + c ⇒ c = 6 - 1 = 5

y = - x + 5 ← equation of line

i need a diagram

step-by-step explanation:

no