What is the slope of the line through (-2,-6) and (2,2) ? Choose 1 answer: (A) (1)/(2) (B) -2 (C) 2 (D) -(1)/(2)

Identify slope formula: Identify the slope formula. The slope of a line is calculated by the change in y-coordinates divided by the change in x-coordinates between two points. Slope formula: (y_2 - y_1)/(x_2 - x_1)Substitute given points: Substitute the given points into the slope formula. We have the points (-2, -6) and (2, 2). Let's denote (-2, -6) as (x_1, y_1) and (2, 2) as (x_2, y_2). Slope: (2 - (-6)) / (2 - (-2))Calculate change in y-coordinates: Calculate the change in y-coordinates. Change in y: 2 - (-6) which simplifies to 2 + 6 = 8Calculate change in x-coordinates: Calculate the change in x-coordinates. Change in x: 2 - (-2) which simplifies to 2 + 2 = 4Calculate slope using changes in y and x: Calculate the slope using the changes in y and x. Slope: 8 / 4Simplify fraction to find slope: Simplify the fraction to find the slope. 8 / 4 simplifies to 2Match calculated slope to answer choice: Match the calculated slope to the correct answer choice. The calculated slope is 2, which corresponds to answer choice (C) 2.

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
(-2,-6) and
(2,2) ?
Choose 1 answer:
(A)
(1)/(2)
(B) -2
(C) 2
(D)
-(1)/(2)

What is the slope of the line through $(-2,-6)$ and $(2,2)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{2}$ $\newline$ (B) $-2$ $\newline$ (C) $2$ $\newline$ (D) $-\frac{1}{2}$

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

(-2,-6)

and

(2,2)

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{2}

\newline

(B)

-2

\newline

(C)

2

\newline

(D)

-\frac{1}{2}

Identify slope formula: Identify the slope formula. $\newline$ The slope of a line is calculated by the change in $y$ -coordinates divided by the change in $x$ -coordinates between two points. $\newline$ Slope formula: $(y_2 - y_1)/(x_2 - x_1)$
Substitute given points: Substitute the given points into the slope formula. $\newline$ We have the points $(-2, -6)$ and $(2, 2)$ . Let's denote $(-2, -6)$ as $(x_1, y_1)$ and $(2, 2)$ as $(x_2, y_2)$ . $\newline$ Slope: $(2 - (-6)) / (2 - (-2))$
Calculate change in y-coordinates: Calculate the change in y-coordinates. $\newline$ Change in y: $2 - (-6)$ which simplifies to $2 + 6 = 8$
Calculate change in x-coordinates: Calculate the change in x-coordinates. $\newline$ Change in x: $2 - (-2)$ which simplifies to $2 + 2 = 4$
Calculate slope using changes in y and x: Calculate the slope using the changes in y and x. $\newline$ Slope: $\frac{8}{4}$
Simplify fraction to find slope: Simplify the fraction to find the slope. $\frac{8}{4}$ simplifies to $2$
Match calculated slope to answer choice: Match the calculated slope to the correct answer choice. $\newline$ The calculated slope is $2$ , which corresponds to answer choice (C) $2$ .