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)

Recall formula for slope: Recall the formula for the slope of a line given two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1).Substitute given points: Substitute the given points into the slope formula. Let (-5, -10) be (x1, y1) and (-1, 5) be (x2, y2). Slope m = (5 - (-10)) / (-1 - (-5))Perform calculations: Perform the calculations inside the parentheses. Slope m = (5 + 10) / (-1 + 5)Add and subtract numbers: Add and subtract the numbers to find the slope. Slope m = 15 / 4Check result: Check the result to ensure it matches one of the given answer choices. The slope m = 15 / 4 matches answer choice (A).

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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 $\newline$ $(-5,-10)$ and $\newline$ $(-1,5)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\newline$ $\frac{15}{4}$ $\newline$ (B) $\newline$ $\frac{4}{15}$ $\newline$ (C) $\newline$ $-\frac{15}{4}$ $\newline$ (D) $\newline$ $-\frac{4}{15}$

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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

\newline

(-5,-10)

and

\newline

(-1,5)

\newline

Choose

1

answer:

\newline

(A)

\newline

\frac{15}{4}

\newline

(B)

\newline

\frac{4}{15}

\newline

(C)

\newline

-\frac{15}{4}

\newline

(D)

\newline

-\frac{4}{15}

Recall formula for slope: Recall the formula for the slope of a line given two points $(x_1, y_1)$ and $(x_2, y_2)$ is $\frac{y_2 - y_1}{x_2 - x_1}$ .
Substitute given points: Substitute the given points into the slope formula. Let $(-5, -10)$ be $(x_1, y_1)$ and $(-1, 5)$ be $(x_2, y_2)$ . $\newline$ Slope $m = \frac{5 - (-10)}{-1 - (-5)}$
Perform calculations: Perform the calculations inside the parentheses. $\newline$ Slope $m = \frac{5 + 10}{-1 + 5}$
Add and subtract numbers: Add and subtract the numbers to find the slope. $\newline$ Slope $m = \frac{15}{4}$
Check result: Check the result to ensure it matches one of the given answer choices. $\newline$ The slope $m = \frac{15}{4}$ matches answer choice $(A)$ .