What is the slope of the line through (-4,2) and (3,-3) ? Choose 1 answer: (A) (7)/(5) (B) -(5)/(7) (C) (5)/(7) (D) -(7)/(5)

Identify slope formula: Identify the slope formula. The slope of a line is calculated by the difference in the y-coordinates divided by the difference in the x-coordinates of 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 (-4, 2) and (3, -3). Let's denote (-4, 2) as (x_1, y_1) and (3, -3) as (x_2, y_2). Slope: (-3 - 2) / (3 - (-4))Calculate change in y: Calculate the change in y (y_2 - y_1). -3 - 2 equals -5.Calculate change in x: Calculate the change in x (x_2 - x_1). 3 - (-4) equals 7.Calculate slope: Calculate the slope using the changes in y and x. Slope = (-5) / 7Simplify slope: Simplify the slope if necessary. The slope -5/7 is already in simplest form and matches one of the given answer choices.

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What is the slope of the line through
(-4,2) and
(3,-3) ?
Choose 1 answer:
(A)
(7)/(5)
(B)
-(5)/(7)
(C)
(5)/(7)
(D)
-(7)/(5)

What is the slope of the line through $(-4,2)$ and $(3,-3)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{7}{5}$ $\newline$ (B) $-\frac{5}{7}$ $\newline$ (C) $\frac{5}{7}$ $\newline$ (D) $-\frac{7}{5}$

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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

(-4,2)

and

(3,-3)

\newline

Choose

1

answer:

\newline

(A)

\frac{7}{5}

\newline

(B)

-\frac{5}{7}

\newline

(C)

\frac{5}{7}

\newline

(D)

-\frac{7}{5}

Identify slope formula: Identify the slope formula. $\newline$ The slope of a line is calculated by the difference in the $y$ -coordinates divided by the difference in the $x$ -coordinates of 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 $(-4, 2)$ and $(3, -3)$ . Let's denote $(-4, 2)$ as $(x_1, y_1)$ and $(3, -3)$ as $(x_2, y_2)$ . $\newline$ Slope: $\frac{-3 - 2}{3 - (-4)}$
Calculate change in y: Calculate the change in y $y_2 - y_1$ . $-3 - 2$ equals $-5$ .
Calculate change in x: Calculate the change in $x$ ( $x_2 - x_1$ ). $\newline$ $3 - (-4)$ equals $7$ .
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\text{Slope} = \frac{-5}{7}$
Simplify slope: Simplify the slope if necessary. $\newline$ The slope $-\frac{5}{7}$ is already in simplest form and matches one of the given answer choices.