What is the slope of the line through (-7,-8) and (0,4) ? Choose 1 answer: (A) -(12)/(7) (B) (12)/(7) (c) (7)/(12) (D) -(7)/(12)

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 (-7, -8) and (0, 4). Let's assign these values to the formula: x1 = -7, y1 = -8, x2 = 0, y2 = 4. Slope = (4 - (-8)) / (0 - (-7))Calculate change in y: Calculate the change in y (rise). Change in y = y2 - y1 = 4 - (-8) = 4 + 8 = 12Calculate change in x: Calculate the change in x (run). Change in x = x2 - x1 = 0 - (-7) = 0 + 7 = 7Calculate slope: Calculate the slope using the changes in y and x. Slope = Change in y / Change in x = 12 / 7Determine correct answer: Determine the correct answer from the given options. The calculated slope is 12/7, which corresponds to option (B).

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What is the slope of the line through
(-7,-8) and
(0,4) ?
Choose 1 answer:
(A)
-(12)/(7)
(B)
(12)/(7)
(c)
(7)/(12)
(D)
-(7)/(12)

What is the slope of the line through $(-7,-8)$ and $(0,4)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-\frac{12}{7}$ $\newline$ (B) $\frac{12}{7}$ $\newline$ (C) $\frac{7}{12}$ $\newline$ (D) $-\frac{7}{12}$

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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

(-7,-8)

and

(0,4)

\newline

Choose

1

answer:

\newline

(A)

-\frac{12}{7}

\newline

(B)

\frac{12}{7}

\newline

(C)

\frac{7}{12}

\newline

(D)

-\frac{7}{12}

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 $(-7, -8)$ and $(0, 4)$ . Let's assign these values to the formula: $\newline$ $x_1 = -7$ , $y_1 = -8$ , $x_2 = 0$ , $y_2 = 4$ . $\newline$ Slope = $\frac{4 - (-8)}{0 - (-7)}$
Calculate change in y: Calculate the change in y (rise). $\text{Change in } y = y_2 - y_1 = 4 - (-8) = 4 + 8 = 12$
Calculate change in x: Calculate the change in x (run). $\newline$ Change in x = $x_2 - x_1 = 0 - (-7) = 0 + 7 = 7$
Calculate slope: Calculate the slope using the changes in y and x. $\newline$ Slope = $\frac{\text{Change in } y}{\text{Change in } x} = \frac{12}{7}$
Determine correct answer: Determine the correct answer from the given options. $\newline$ The calculated slope is $\frac{12}{7}$ , which corresponds to option (B).