Question

Match each graph with the correct slope of the line. drag and drop the answer

Answer 1

Answer/Step-by-step explanation:

✔️Slope of the first graph:

Using two points on the line, (0, 1) and (3, 2),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{3 - 0} = \frac{1}{3}$

Slope = ⅓

✔️Slope of the second graph:

Using two points on the line, (0, 0) and (1, 1),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 0}{1 - 0} = \frac{1}{1} = 1$

Slope = 1

✔️Slope of the third graph:

Using two points on the line, (0, 1) and (2, 2),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{2 - 0} = \frac{1}{2}$

Slope = ½

Answer 2

The correct slopes of the graphs are as follows:

1.   m = 1 / 3

2. m = 1

3. m = 1 / 2

slope = m = y₂ - y₁ / x₂ - x₁

1.

(0, 1)(6, 3)

m = 3 - 1 / 6 - 0 = 2 / 6 = 1 / 3

2.

(0, 0)(3, 3)

m =  3 - 0 / 3 - 0 = 3 / 3 = 1

3.

(0, 1)(4, 3)

m = 3 - 1 / 4 - 0 = 2 / 4 = 1 /2

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