Question

What is the slope of the line that passes through the points (1, −3) and (3, −5)

Answer 1

Answer:

Slope = -1

Step-by-step explanation:

Use the following formula:

slope (m) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (1 , -3)

(x₂ , y₂) = (3 , -5)

Plug in the corresponding numbers to the corresponding variables. Simplify:

m = (-5 - (-3))/(3 - 1)

m = (-5 + 3)/(3 - 1)

m = -2/2

m = -1

The slope of the line is -1.

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Answer 2

For this case we have that by definition, the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

We have as data the following points:

$(x_ {1}, y_ {1}) :( 1, -3)\\(x_ {2}, y_ {2}): (3, -5)$

Substituting the values:

$m = \frac {-5 - (- 3)} {3-1}\\m = \frac {-5 + 3} {3-1}\\m = \frac {-2} {2}\\m = -1$

Thus, the slope is -1.

Answer:

The slope is -1