What is the slope of the line through (-10,1) and (0,-4) ? Choose 1 answer: (A) 2 (B) (1)/(2) (c) -(1)/(2) (D) -2

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 (-10, 1) and (0, -4). Let's assign (-10, 1) to (x_1, y_1) and (0, -4) to (x_2, y_2). Slope: (-4 - 1) / (0 - (-10))Calculate change in y-coordinates: Calculate the change in y-coordinates. Change in y: -4 - 1 = -5Calculate change in x-coordinates: Calculate the change in x-coordinates. Change in x: 0 - (-10) = 0 + 10 = 10Calculate slope: Calculate the slope using the changes in y and x. Slope: -5 / 10Simplify slope: Simplify the slope. Slope: -5 / 10 simplifies to -(1/2) or -0.5

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What is the slope of the line through
(-10,1) and
(0,-4) ?
Choose 1 answer:
(A) 2
(B)
(1)/(2)
(c)
-(1)/(2)
(D) -2

What is the slope of the line through $(-10,1)$ and $(0,-4)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $2$ $\newline$ (B) $\frac{1}{2}$ $\newline$ (C) $-\frac{1}{2}$ $\newline$ (D) $-2$

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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

(-10,1)

and

(0,-4)

\newline

Choose

1

answer:

\newline

(A)

2

\newline

(B)

\frac{1}{2}

\newline

(C)

-\frac{1}{2}

\newline

(D)

-2

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 $(-10, 1)$ and $(0, -4)$ . Let's assign $(-10, 1)$ to $(x_1, y_1)$ and $(0, -4)$ to $(x_2, y_2)$ . $\newline$ Slope: $\frac{-4 - 1}{0 - (-10)}$
Calculate change in y-coordinates: Calculate the change in y-coordinates. $\newline$ Change in y: $-4 - 1 = -5$
Calculate change in x-coordinates: Calculate the change in x-coordinates. $\newline$ Change in x: $0 - (-10) = 0 + 10 = 10$
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\newline$ Slope: $-\frac{5}{10}$
Simplify slope: Simplify the slope. $\newline$ Slope: $-\frac{5}{10}$ simplifies to $-\left(\frac{1}{2}\right)$ or $-0.5$