Choose the equation of a line passing through the points (-2,4) and (-3,-2).

Question

A. y = 6x - 2

B. y = 6x + 16

C. y = 6x + 8

D. y = 6x + 6

Answer 1

Hi Dizzy, first find the slope of the line passing through the two points.

 

Slope = (y₂ - y₁) / (x₂ - x₁)

 

Let (-2, 4) represent the (x₁, y₁) point.

 

Slope = (-2 - 4) / (-3 - (-2))

 

Slope = -6 / -1, or 6/1

 

Using the point-slope method, the same point for (x₁, y₁), and the slope, m = 6,

 

y - y₁ = m * (x - x₁)

 

y - 4 = 6 * (x - (-2)

 

y - 4 = 6x + 12

 

Put into y-intercept form:

 

y = 6x + 16

 

Answer: B.

 

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