What is the slope of the line through (-5,-10) and (-1,5) ? Choose 1 answer: (A) (15)/(4) (B) -(4)/(15) (C) -(15)/(4) (D) (4)/(15)

Identify slope formula: Identify the slope formula. The slope of a line passing 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 (-5, -10) and (-1, 5). Let's denote these points as (x1, y1) and (x2, y2) respectively. So, x1 = -5, y1 = -10, x2 = -1, and y2 = 5. Slope = (5 - (-10)) / (-1 - (-5))Perform calculations: Perform the calculations for the numerator and the denominator. Numerator: 5 - (-10) = 5 + 10 = 15 Denominator: -1 - (-5) = -1 + 5 = 4Calculate slope: Calculate the slope using the results from Step 3. Slope = 15 / 4

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What is the slope of the line through
(-5,-10) and
(-1,5) ?
Choose 1 answer:
(A)
(15)/(4)
(B)
-(4)/(15)
(C)
-(15)/(4)
(D)
(4)/(15)

What is the slope of the line through $(-5,-10)$ and $(-1,5)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{15}{4}$ $\newline$ (B) $-\frac{4}{15}$ $\newline$ (C) $-\frac{15}{4}$ $\newline$ (D) $\frac{4}{15}$

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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

(-5,-10)

and

(-1,5)

\newline

Choose

1

answer:

\newline

(A)

\frac{15}{4}

\newline

(B)

-\frac{4}{15}

\newline

(C)

-\frac{15}{4}

\newline

(D)

\frac{4}{15}

Identify slope formula: Identify the slope formula. $\newline$ The slope of a line passing 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 $(-5, -10)$ and $(-1, 5)$ . Let's denote these points as $(x_1, y_1)$ and $(x_2, y_2)$ respectively. $\newline$ So, $x_1 = -5$ , $y_1 = -10$ , $x_2 = -1$ , and $y_2 = 5$ . $\newline$ Slope = $\frac{5 - (-10)}{-1 - (-5)}$
Perform calculations: Perform the calculations for the numerator and the denominator. $\newline$ Numerator: $5 - (-10) = 5 + 10 = 15$ $\newline$ Denominator: $-1 - (-5) = -1 + 5 = 4$
Calculate slope: Calculate the slope using the results from Step $3$ . Slope = $\frac{15}{4}$