What is the slope of the line through (-9,-6) and (3,-9) ? Choose 1 answer: (A) (1)/(4) (B) 4 (c) -(1)/(4) (D) -4

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 (-9, -6) and (3, -9). Let's denote (-9, -6) as (x_1, y_1) and (3, -9) as (x_2, y_2). Slope: (-9 - (-6)) / (3 - (-9))Simplify numerator and denominator: Simplify the numerator and the denominator. Calculate the change in y (y_2 - y_1): -9 - (-6) = -9 + 6 = -3 Calculate the change in x (x_2 - x_1): 3 - (-9) = 3 + 9 = 12Write slope as fraction: Write the slope as a fraction. Slope = (-3) / 12Simplify fraction: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 3. Slope = (-3/3) / (12/3) = -1 / 4

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What is the slope of the line through
(-9,-6) and
(3,-9) ?
Choose 1 answer:
(A)
(1)/(4)
(B) 4
(c)
-(1)/(4)
(D) -4

What is the slope of the line through $(-9,-6)$ and $(3,-9)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{4}$ $\newline$ (B) $4$ $\newline$ (c) $-\frac{1}{4}$ $\newline$ (D) $-4$

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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

(-9,-6)

and

(3,-9)

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{4}

\newline

(B)

4

\newline

(c)

-\frac{1}{4}

\newline

(D)

-4

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 $(-9, -6)$ and $(3, -9)$ . Let's denote $(-9, -6)$ as $(x_1, y_1)$ and $(3, -9)$ as $(x_2, y_2)$ . $\newline$ Slope: $\frac{-9 - (-6)}{3 - (-9)}$
Simplify numerator and denominator: Simplify the numerator and the denominator. $\newline$ Calculate the change in $y$ ( $y_2 - y_1$ ): $-9 - (-6) = -9 + 6 = -3$ $\newline$ Calculate the change in $x$ ( $x_2 - x_1$ ): $3 - (-9) = 3 + 9 = 12$
Write slope as fraction: Write the slope as a fraction. $\newline$ Slope = $(-3) / 12$
Simplify fraction: Simplify the fraction. $\newline$ Divide both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ Slope = $(-3/3) / (12/3) = -1 / 4$