The coordinates of three points on a straight line are listed in the table. What is the function rule that describes the linear
relationship between these x and y values?
1 answer:
Answer:
y = x - 8
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 ) = (10, 2) and (x₂, y₂ ) = (12, 4) ← 2 ordered pairs from the table
m = =
= 1
From the graph the line crosses the y- axis at - 8 ⇒ c = - 8
y = x - 8 ← is the equation
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