What is the slope of the line through (-1,8) and (3,-4) ? Choose 1 answer: (A) 3 (B) -(1)/(3) (c) (1)/(3) (D) -3

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. 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 (-1, 8) and (3, -4). Let's denote (-1, 8) as (x_1, y_1) and (3, -4) as (x_2, y_2). Slope: (-4 - 8) / (3 - (-1))Calculate change in y: Calculate the change in y-coordinates. Change in y: -4 - 8 = -12Calculate change in x: Calculate the change in x-coordinates. Change in x: 3 - (-1) = 3 + 1 = 4Calculate slope: Calculate the slope using the changes in y and x. Slope: -12 / 4 = -3

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What is the slope of the line through
(-1,8) and
(3,-4) ?
Choose 1 answer:
(A) 3
(B)
-(1)/(3)
(c)
(1)/(3)
(D) -3

What is the slope of the line through $(-1,8)$ and $(3,-4)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $3$ $\newline$ (B) $-\frac{1}{3}$ $\newline$ (C) $\frac{1}{3}$ $\newline$ (D) $-3$

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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

(-1,8)

and

(3,-4)

\newline

Choose

1

answer:

\newline

(A)

3

\newline

(B)

-\frac{1}{3}

\newline

(C)

\frac{1}{3}

\newline

(D)

-3

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. $\newline$ Slope formula: $\frac{y_2 - y_1}{x_2 - x_1}$
Substitute given points: Substitute the given points into the slope formula. $\newline$ We have the points $(-1, 8)$ and $(3, -4)$ . Let's denote $(-1, 8)$ as $(x_1, y_1)$ and $(3, -4)$ as $(x_2, y_2)$ . $\newline$ Slope: $\frac{-4 - 8}{3 - (-1)}$
Calculate change in y: Calculate the change in y-coordinates. $\newline$ Change in y: $-4 - 8 = -12$
Calculate change in x: Calculate the change in x-coordinates. $\newline$ Change in x: $3 - (-1) = 3 + 1 = 4$
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\newline$ Slope: $-12 / 4 = -3$