Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the slope of the line through (-1,4) and (5,2)

Sagot :

Answer:

Slope (m) = [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

Use the following equation:

Slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1 , y_1) = (-1 , 4)\\(x_2 , y_2) = (5 , 2)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{2 - 4}{5 - (-1)} = \frac{2 - 4}{5 + 1} = \frac{-2}{6}[/tex]

Simplify. Divide common factors from both the numerator and denominator:

[tex]\frac{(-\frac{2}{6})}{\frac{2}{2} } = -\frac{1}{3}[/tex]

[tex]-\frac{1}{3}[/tex] is your answer.

~