For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler.

Answer: The answer is number choice 1.

Step-by-step explanation:

The slope of each pair of coordinates are as follows -

Pair 1 → (1, 1) and (7, 5) → m[1] = 2/3

Pair 2 → (1, 1) and (5, 7) → m[2] = 3/2

Pair 3 →  (2, 5) and (-1, 2) → m[3] = 1

Pair 4 → (2, 5) and (-7, -4) → m[4] = 1

Slope of a line is defined as the rate of change of dependent variable with respect to independent one.

Given are the four pairs of coordinates.

The formula to calculate the slope of a line using the coordinates is -

m = (y₂ - y₁) / (x₂ - x₁)

→ for (1, 1) and (7, 5), the slope will be -

m[1] = (5 - 1)/(7 - 1)

m[1] = 4/6

m[1] = 2/3

→ for (1, 1) and (5, 7), the slope will be -

m[2] = (7 - 1)/(5 - 1)

m[2] = 6/4

m[2] = 3/2

→ for (2, 5) and (-1, 2), the slope will be -

m[3] = (2 - 5)/(-1 - 2)

m[3] = -3/-3

m[3] = 1

→ for (2, 5) and (-7, -4), the slope will be -

m[4] = (- 4 - 5)/(-7 - 2)

m[4] = -9/-9

m[4] = 1

Therefore, we can write the slope of each pair of coordinates as -

Pair 1 → (1, 1) and (7, 5) → m[1] = 2/3

Pair 2 → (1, 1) and (5, 7) → m[2] = 3/2

Pair 3 →  (2, 5) and (-1, 2) → m[3] = 1

Pair 4 → (2, 5) and (-7, -4) → m[4] = 1

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