Question

What is the equation of this trend line?

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Answer 1

Blank 1 : -2

Blank 2 : 24

Explanation:

The first blank denotes the rate of change, or the slope of the graph.

Slope = y₂ - y₁ / x₂ - x₁

• m = 16 - 24 / 4 - 0
• m = -8/4
• m = -2
• Blank 1 : -2

The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.

The y-intercept is clearly (0, 24)

• Blank 2 : 24

Answer 2

Explanation:

The line rises to the left so the slope is negative.

The slope m = -24/12 = -2.

Using the point-slope formula and taking the point (12, 0) on the line:

y - y1 = m(x - x1) where m = -1, x1 = 12 and y = 0:

y - 0 = -2(x - 12)

y = -2x + 24 <------- this is the required equation.