A line passes through (2, 8) and (4, 12). Which equation best represents the line?
y = 1 over 2 x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2 x + 10

Solution:

The given points are (2, 8) and (4, 12)

The equation of a line which passess through the points (x1, y1) and (x2, y2) is

y - y₁ = m (x - x₁)

Where m is the slope

m = (y₂ - y₁)/ (x₂ - x₁)

By substituting the values

m = (12 - 8)/ (4 - 2)

m = 4/2

m = 2

Now substituting the value of m

y - 8 = 2 (x - 2)

Using the multiplicative distributive property

y - 8 = 2x - 4

y = 2x - 4 + 8

y = 2x + 4

Therefore, the equation which best represents the line is y = 2x + 4.

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A line passes through (2, 8) and (4, 12). Which equation best represents the line?

Summary:

A line passes through (2, 8) and (4, 12). The equation which best represents the line is y = 2x + 4.