What is the x-coordinate of the solution to the following system of equations?
1 answer:
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Answer:
D
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 ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = =
=
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D