What is the slope of the line through (6,9) and (7,1) ? Choose 1 answer: (A) 8 (B) -8 (c) (1)/(8) (D) -(1)/(8)

Identify slope formula: Identify the slope formula. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: Slope = (y2 - y1) / (x2 - x1)Substitute given points: Substitute the given points into the slope formula. We have the points (6, 9) and (7, 1), so x1 = 6, y1 = 9, x2 = 7, and y2 = 1. Slope = (1 - 9) / (7 - 6)Calculate change in y: Calculate the change in y (y2 - y1). Change in y = 1 - 9 = -8Calculate change in x: Calculate the change in x (x2 - x1). Change in x = 7 - 6 = 1Calculate slope: Calculate the slope using the changes in y and x. Slope = (-8) / (1) = -8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the slope of the line through
(6,9) and
(7,1) ?
Choose 1 answer:
(A) 8
(B) -8
(c)
(1)/(8)
(D)
-(1)/(8)

What is the slope of the line through $(6,9)$ and $(7,1)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $8$ $\newline$ (B) $-8$ $\newline$ (C) $\frac{1}{8}$ $\newline$ (D) $-\frac{1}{8}$

View step-by-step help

Home

Math Problems

Algebra 1

Find the slope from two points

Full solution

Q. What is the slope of the line through

(6,9)

and

(7,1)

\newline

Choose

1

answer:

\newline

(A)

8

\newline

(B)

-8

\newline

(C)

\frac{1}{8}

\newline

(D)

-\frac{1}{8}

Identify slope formula: Identify the slope formula. $\newline$ The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $\newline$ Slope = $\frac{y_2 - y_1}{x_2 - x_1}$
Substitute given points: Substitute the given points into the slope formula. $\newline$ We have the points $(6, 9)$ and $(7, 1)$ , so $x_1 = 6$ , $y_1 = 9$ , $x_2 = 7$ , and $y_2 = 1$ . $\newline$ Slope = $\frac{1 - 9}{7 - 6}$
Calculate change in y: Calculate the change in y $y_2 - y_1$ . $\newline$ Change in y = $1 - 9 = -8$
Calculate change in x: Calculate the change in x $x_2 - x_1$ . $\newline$ Change in x = $7 - 6 = 1$
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\text{Slope} = \frac{-8}{1} = -8$