Question

The graphed line can be expressed by which equation?

Answer 1

Answer:

The Answer is: y = 2/3x - 2/3

Step-by-step explanation:

Given points: (4, 2) and (-2, -2)

Find the slope m:

m = y - y1 / (x - x1)

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

m = 2 + 2 / (4 + 2)

m = 4 / 6 = 2/3

Use the point slope form, substitute the point (4, 2) and solve for y to get the point slope form:

y - y1 = m(x - x1)

y - 2 = 2/3(x - 4)

y - 2 = 2/3x - 8/3

y = 2/3x - 8/3 + 6/3

y = 2/3x - 2/3

Proof:

f(-2) = 2/3(-2) - 2/3

= -4/3 - 2/3 = -6/3 = -2, giving (-2, -2)

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