Which pair of points is in the solution set for the system of linear inequalities below?
1 answer:
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Answer:
y = x - 3
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 ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)
m = =
=
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 18, - 12) , then
- 12 = - 9 + c ⇒ c = - 12 + 9 = - 3
y = x - 3 ← equation of line