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 on the line. 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 (y_2 - y_1). Change in y: 2 - (-6) which simplifies to 2 + 6 equals 8.Calculate change in x-coordinates: Calculate the change in x-coordinates (x_2 - x_1). Change in x: 2 - (-2) which simplifies to 2 + 2 equals 4.Calculate slope: Calculate the slope using the changes in y and x. Slope: 8 / 4 which simplifies to 2.Match calculated slope: Match the calculated slope to the given answer choices. The calculated slope is 2, which corresponds to answer choice (B) 2.

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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) $-\frac{1}{2}$

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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 on the line. $\newline$ 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: $\frac{2 - (-6)}{2 - (-2)}$
Calculate change in y-coordinates: Calculate the change in y-coordinates $y_2 - y_1$ . $\newline$ Change in y: $2 - (-6)$ which simplifies to $2 + 6$ equals $8$ .
Calculate change in x-coordinates: Calculate the change in x-coordinates $(x_2 - x_1)$ . $\newline$ Change in x: $2 - (-2)$ which simplifies to $2 + 2$ equals $4$ .
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\newline$ Slope: $\frac{8}{4}$ which simplifies to $2$ .
Match calculated slope: Match the calculated slope to the given answer choices. $\newline$ The calculated slope is $2$ , which corresponds to answer choice (B) $2$ .