Answer:
B) x = 1, y = 46/3
Explanation:
The general equation for a straight line is
y = mx + b
Step 1. Find the slope of the line
The slope m is
m =(y₂ -y₁)/(x₂/x₁)
Two of your points are (0, 2) and (3, 7).
m = (7 – 2)/(3 – 0)
m = 5/3
Step 2. Find the equation of the line
Use point (0, 2).
2 = ⁵/₃ × 0 + b
2 = 0 + b
b = 2
The equation of the line is
y = ⁵/₃x + 2
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Step 3.Find the coordinates of the first missing point.
(x, 11/3)
11/3 = ⁵/₃x + 2 Multiply each side by 3
11 = 5x + 6 Subtract 6 from each side
5 = 5x Divide each side by 5
x = 1
The missing value is x = 1.
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Step 4. Find the coordinates of the second missing point
(8, y)
y = ⁵/₃ × 8 + 2 Multiply each side by 3
3y = 40 + 6 Combine like terms
3y = 46 Divide each side by 3
y = 46/3
The missing value is y = 46/3.
Your three known points give the green line in the graph below.
The orange dot represents the first missing point at (1, 11/3).
The red dot represents the second missing point at (8, 46/3).