Question

How can you find the slope of the line that passes through the points (0, 0) and (2, 4)? Explain.

Answer 1

The slope formula is y2 - y1 / x2 - x1.

We have two points:

(0,0) (2,4) and points are written in the form (x,y).

From this information we can determine:

y2 = 4
y1 = 0
x2 = 2
x1 = 0

Substitute these into the slope formula:

y2 - y1 / x2 - x1

4 - 0 / 2 - 0

4 / 2

Slope = 2

Answer 2

The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2

The slope(m) of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

For the line that passes through the points (0, 0) and (2, 4)

x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4

Substitute x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4 into the equation $m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{4-0}{2-0} \\\\m = \frac{4}{2} \\\\m = 2$

The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2

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