What is the slope of the line through (-1,-7) and (3,9) ? Choose 1 answer: (A) -(1)/(4) (B) 4 (c) -4 (D) (1)/(4)

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, -7) and (3, 9), so we substitute these into the formula: x1 = -1, y1 = -7, x2 = 3, y2 = 9 Slope = (9 - (-7)) / (3 - (-1))Calculate change in y: Calculate the change in y (rise). Change in y = y2 - y1 = 9 - (-7) = 9 + 7 = 16Calculate change in x: Calculate the change in x (run). Change in x = x2 - x1 = 3 - (-1) = 3 + 1 = 4Calculate the slope: Calculate the slope using the changes in y and x. Slope = Change in y / Change in x = 16 / 4Simplify the slope: Simplify the slope. Slope = 16 / 4 = 4

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What is the slope of the line through
(-1,-7) and
(3,9) ?
Choose 1 answer:
(A)
-(1)/(4)
(B) 4
(c) -4
(D)
(1)/(4)

What is the slope of the line through $(-1,-7)$ and $(3,9)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-\frac{1}{4}$ $\newline$ (B) $4$ $\newline$ (C) $-4$ $\newline$ (D) $\frac{1}{4}$

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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,-7)

and

(3,9)

\newline

Choose

1

answer:

\newline

(A)

-\frac{1}{4}

\newline

(B)

4

\newline

(C)

-4

\newline

(D)

\frac{1}{4}

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 $(-1, -7)$ and $(3, 9)$ , so we substitute these into the formula: $\newline$ $x_1 = -1$ , $y_1 = -7$ , $x_2 = 3$ , $y_2 = 9$ $\newline$ Slope = $\frac{9 - (-7)}{3 - (-1)}$
Calculate change in y: Calculate the change in y (rise). Change in $y = y_2 - y_1 = 9 - (-7) = 9 + 7 = 16$
Calculate change in x: Calculate the change in x (run). Change in $x = x_2 - x_1 = 3 - (-1) = 3 + 1 = 4$
Calculate the slope: Calculate the slope using the changes in $y$ and $x$ . $\text{Slope} = \frac{\text{Change in } y}{\text{Change in } x} = \frac{16}{4}$
Simplify the slope: Simplify the slope. $\newline$ Slope = $\frac{16}{4} = 4$