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: 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 (-7, -2) and (-6, 7). Let's denote these points as (x1, y1) and (x2, y2) respectively. So, x1 = -7, y1 = -2, x2 = -6, and y2 = 7. Slope = (7 - (-2)) / (-6 - (-7))Calculate change in y: Calculate the change in y (y2 - y1). Change in y = 7 - (-2) = 7 + 2 = 9Calculate change in x: Calculate the change in x (x2 - x1). Change in x = -6 - (-7) = -6 + 7 = 1Calculate slope: Calculate the slope using the changes in y and x. Slope = Change in y / Change in x = 9 / 1Simplify slope: Simplify the slope if necessary. The slope simplifies to 9/1, which is an integer value of 9.

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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: 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 $(-7, -2)$ and $(-6, 7)$ . Let's denote these points as $(x_1, y_1)$ and $(x_2, y_2)$ respectively. $\newline$ So, $x_1 = -7$ , $y_1 = -2$ , $x_2 = -6$ , and $y_2 = 7$ . $\newline$ Slope = $\frac{7 - (-2)}{-6 - (-7)}$
Calculate change in y: Calculate the change in y $y_2 - y_1$ . $\newline$ Change in y = $7 - (-2) = 7 + 2 = 9$
Calculate change in x: Calculate the change in $x$ ( $x_2 - x_1$ ). $\newline$ Change in $x = -6 - (-7) = -6 + 7 = 1$
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\text{Slope} = \frac{\text{Change in } y}{\text{Change in } x} = \frac{9}{1}$
Simplify slope: Simplify the slope if necessary. $\newline$ The slope simplifies to $\frac{9}{1}$ , which is an integer value of $9$ .