What is the slope of the line through (-7,-2) and (-6,7) ? Choose 1 answer: (A) (1)/(9) (B) 9 (c) -(1)/(9) (D) -9

Identify Slope Formula: To find the slope of the line through two points, we use the formula for slope (m), which is the change in y divided by the change in x, or m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points (-7,-2) and (-6,7), we have x1 = -7, y1 = -2, x2 = -6, and y2 = 7.Calculate Change in y: Now we calculate the change in y, which is y2 - y1 = 7 - (-2) = 7 + 2 = 9.Calculate Change in x: Next, we calculate the change in x, which is x2 - x1 = -6 - (-7) = -6 + 7 = 1.Find Slope: We can now find the slope by dividing the change in y by the change in x: m = (y2 - y1) / (x2 - x1) = 9 / 1 = 9.Final Result: The slope of the line through the points (-7,-2) and (-6,7) is 9, which corresponds to choice (B).

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What is the slope of the line through
(-7,-2) and
(-6,7) ?
Choose 1 answer:
(A)
(1)/(9)
(B) 9
(c)
-(1)/(9)
(D) -9

What is the slope of the line through $(-7,-2)$ and $(-6,7)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{9}$ $\newline$ (B) $9$ $\newline$ (C) $-\frac{1}{9}$ $\newline$ (D) $-9$

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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

(-7,-2)

and

(-6,7)

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{9}

\newline

(B)

9

\newline

(C)

-\frac{1}{9}

\newline

(D)

-9

Identify Slope Formula: To find the slope of the line through two points, we use the formula for slope $m$ , which is the change in $y$ divided by the change in $x$ , or $m = \frac{y_2 - y_1}{x_2 - x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.
Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points $(-7,-2)$ and $(-6,7)$ , we have $x_1 = -7$ , $y_1 = -2$ , $x_2 = -6$ , and $y_2 = 7$ .
Calculate Change in y: Now we calculate the change in y, which is $y_2 - y_1 = 7 - (-2) = 7 + 2 = 9$ .
Calculate Change in x: Next, we calculate the change in $x$ , which is $x_2 - x_1 = -6 - (-7) = -6 + 7 = 1$ .
Find Slope: We can now find the slope by dividing the change in $y$ by the change in $x$ : $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{9}{1} = 9$ .
Final Result: The slope of the line through the points $(-7,-2)$ and $(-6,7)$ is $9$ , which corresponds to choice $(B)$ .