Find the slope of the line that passes through (10, 6) and (5, 14). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Label Points: To find the slope of the line that passes through two points, we use the slope formula, which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1). Let's label our points: point 1 is (10, 6) and point 2 is (5, 14).Calculate Change in y: Now we calculate the change in y, which is y2 - y1. That's 14 - 6. 14 - 6 = 8Calculate Change in x: Next, we calculate the change in x, which is x2 - x1. That's 5 - 10. 5 - 10 = -5Find Slope: Now we can find the slope by dividing the change in y by the change in x. Slope = 8 / -5Final Slope: The slope of the line is -8/5. This is an improper fraction, which is an acceptable form for the answer.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the slope of the line that passes through $(10, 6)$ and $(5, 14)$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

View step-by-step help

Home

Math Problems

Grade 7

Find the slope from two points

Full solution

Q. Find the slope of the line that passes through

(10, 6)

and

(5, 14)

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

_____

Label Points: To find the slope of the line that passes through two points, we use the slope formula, which is $(\text{change in } y) / (\text{change in } x)$ , or $(y_2 - y_1) / (x_2 - x_1)$ . Let's label our points: point $1$ is $(10, 6)$ and point $2$ is $(5, 14)$ .
Calculate Change in y: Now we calculate the change in y, which is $y_2 - y_1$ . That's $14 - 6$ . $\newline$ $14 - 6 = 8$
Calculate Change in x: Next, we calculate the change in x, which is $x_2 - x_1$ . That's $5 - 10$ . $\newline$ $5 - 10 = -5$
Find Slope: Now we can find the slope by dividing the change in $y$ by the change in $x$ . $\text{Slope} = \frac{8}{-5}$
Final Slope: The slope of the line is $-\frac{8}{5}$ . This is an improper fraction, which is an acceptable form for the answer.