What is the slope of the line through (2,-2) and (9,3) ? Choose 1 answer: (A) (7)/(5) (B) (5)/(7) (C) -(7)/(5) (D) -(5)/(7)

Identify slope formula: Identify the slope formula. The slope of a line 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 (2, -2) and (9, 3), so x1 = 2, y1 = -2, x2 = 9, and y2 = 3. Slope = (3 - (-2)) / (9 - 2)Calculate change in y: Calculate the change in y (y2 - y1). Change in y = 3 - (-2) = 3 + 2 = 5Calculate change in x: Calculate the change in x (x2 - x1). Change in x = 9 - 2 = 7Calculate slope: Calculate the slope using the changes in y and x. Slope = Change in y / Change in x = 5 / 7Match calculated slope: Match the calculated slope to the given answer choices. The calculated slope is 5/7, which corresponds to answer choice (B).

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What is the slope of the line through
(2,-2) and
(9,3) ?
Choose 1 answer:
(A)
(7)/(5)
(B)
(5)/(7)
(C)
-(7)/(5)
(D)
-(5)/(7)

What is the slope of the line through $(2,-2)$ and $(9,3)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{7}{5}$ $\newline$ (B) $\frac{5}{7}$ $\newline$ (c) $-\frac{7}{5}$ $\newline$ (D) $-\frac{5}{7}$

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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,-2)

and

(9,3)

\newline

Choose

1

answer:

\newline

(A)

\frac{7}{5}

\newline

(B)

\frac{5}{7}

\newline

(c)

-\frac{7}{5}

\newline

(D)

-\frac{5}{7}

Identify slope formula: Identify the slope formula. $\newline$ The slope of a line 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 $(2, -2)$ and $(9, 3)$ , so $x_1 = 2$ , $y_1 = -2$ , $x_2 = 9$ , and $y_2 = 3$ . $\newline$ Slope = $(3 - (-2)) / (9 - 2)$
Calculate change in y: Calculate the change in y $y_2 - y_1$ . $\newline$ Change in y = $3 - (-2) = 3 + 2 = 5$
Calculate change in x: Calculate the change in x $x_2 - x_1$ . $\newline$ Change in x = $9 - 2 = 7$
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\text{Slope} = \frac{\text{Change in } y}{\text{Change in } x} = \frac{5}{7}$
Match calculated slope: Match the calculated slope to the given answer choices. $\newline$ The calculated slope is $\frac{5}{7}$ , which corresponds to answer choice $(B)$ .