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

Identify the 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 (1, -1) and (5, -7). Let's assign these values to the formula: x1 = 1, y1 = -1, x2 = 5, y2 = -7 Slope = (y2 - y1) / (x2 - x1) = (-7 - (-1)) / (5 - 1)Perform subtraction: Perform the subtraction in the numerator and the denominator. Calculate the change in y (y2 - y1): -7 - (-1) = -7 + 1 = -6 Calculate the change in x (x2 - x1): 5 - 1 = 4 Now we have: Slope = (-6) / (4)Simplify the fraction: Simplify the fraction. Slope = (-6) / (4) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. Slope = (-6 ÷ 2) / (4 ÷ 2) = -3 / 2

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

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

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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

(1,-1)

and

(5,-7)

\newline

Choose

1

answer:

\newline

(A)

\frac{3}{2}

\newline

(B)

-\frac{3}{2}

\newline

(C)

-\frac{2}{3}

\newline

(D)

\frac{2}{3}

Identify the 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 $(1, -1)$ and $(5, -7)$ . Let's assign these values to the formula: $\newline$ $x_1 = 1$ , $y_1 = -1$ , $x_2 = 5$ , $y_2 = -7$ $\newline$ Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - (-1)}{5 - 1}$
Perform subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ Calculate the change in $y$ ( $y_2 - y_1$ ): $\newline$ $-7 - (-1) = -7 + 1 = -6$ $\newline$ Calculate the change in $x$ ( $x_2 - x_1$ ): $\newline$ $5 - 1 = 4$ $\newline$ Now we have: $\newline$ Slope = $\frac{-6}{4}$
Simplify the fraction: Simplify the fraction. $\newline$ Slope = $(-6) / (4)$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ Slope = $(-6 \div 2) / (4 \div 2) = -3 / 2$