139k views
2 votes
Find the slope of the line that passes through (4,2) and (9,1)?

2 Answers

6 votes

Answer: m= -1/5

Explanation:

Find the Slope (4, 2) and (9, 1)

Slope is equal to the change in y over the change in x, or rise over run.

change in y

m = _________

change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). y₂ − y₁

m = _____

x₂ − x₁

Substitute in the values of x and y into the equation to find the slope.

1 − (2)

m = _____

9 − (4)

Simplify the numerator.

−1

m = _____

9 − (4)

Simplify the denominator.

−1

m = _____

5

Move the negative in front of the fraction.

−1

m = _____

− 5

User Vien Vu
by
8.0k points
3 votes

Answer:

The slope of the line is
\displaystyle -(1)/(5).

Explanation:

We are given two coordinate points:


  • (4, 2)

  • (9, 1)

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.


\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = (y_2-y_1)/(x_2-x_1)

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:


(x_1, y_1), (x_2, y_2)

Therefore, we can also label our coordinates as such:


  • x_1 = 4

  • y_1 = 2

  • x_2 = 9

  • y_2 = 1

Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.


\displaystyle m = (1 - 2)/(9 - 4)\\\\m = (-1)/(5)\\\\m = -(1)/(5)

Therefore, our slope is
\displaystyle -(1)/(5).

User Antwaun
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories