What is the slope of the line through (-9,6) and (-3,9) ? Choose 1 answer: (A) (1)/(2) (B) -2 (c) -(1)/(2) (D) 2

Identify slope formula: Identify the slope formula. The slope of a line is calculated using the formula: Slope = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).Substitute given points: Substitute the given points into the slope formula. We have the points (-9, 6) and (-3, 9), where x1 = -9, y1 = 6, x2 = -3, and y2 = 9. Slope = (9 - 6) / (-3 - (-9))Calculate change in y: Calculate the change in y. Change in y = y2 - y1 = 9 - 6 = 3Calculate change in x: Calculate the change in x. Change in x = x2 - x1 = -3 - (-9) = -3 + 9 = 6Calculate slope: Calculate the slope using the changes in y and x. Slope = Change in y / Change in x = 3 / 6Simplify slope: Simplify the slope to its lowest terms. Slope = 3 / 6 = 1 / 2Match to answer choice: Match the calculated slope to the correct answer choice. The slope of the line is 1/2, which corresponds to answer choice (A).

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What is the slope of the line through
(-9,6) and
(-3,9) ?
Choose 1 answer:
(A)
(1)/(2)
(B) -2
(c)
-(1)/(2)
(D) 2

What is the slope of the line through $(-9,6)$ and $(-3,9)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{2}$ $\newline$ (B) $-2$ $\newline$ (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

(-9,6)

and

(-3,9)

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{2}

\newline

(B)

-2

\newline

(C)

-\frac{1}{2}

\newline

(D)

2

Identify slope formula: Identify the slope formula. $\newline$ The slope of a line is calculated using the formula: Slope = $(\text{change in } y) / (\text{change in } x) = (y_2 - y_1) / (x_2 - x_1)$ .
Substitute given points: Substitute the given points into the slope formula. $\newline$ We have the points $(-9, 6)$ and $(-3, 9)$ , where $x_1 = -9$ , $y_1 = 6$ , $x_2 = -3$ , and $y_2 = 9$ . $\newline$ Slope = $\frac{9 - 6}{-3 - (-9)}$
Calculate change in y: Calculate the change in y. Change in $y = y_2 - y_1 = 9 - 6 = 3$
Calculate change in x: Calculate the change in x. $\newline$ Change in x = $x_2 - x_1 = -3 - (-9) = -3 + 9 = 6$
Calculate slope: Calculate the slope using the changes in $y$ and $x$ . $\text{Slope} = \frac{\text{Change in } y}{\text{Change in } x} = \frac{3}{6}$
Simplify slope: Simplify the slope to its lowest terms. $\newline$ Slope = $\frac{3}{6} = \frac{1}{2}$
Match to answer choice: Match the calculated slope to the correct answer choice. $\newline$ The slope of the line is $\frac{1}{2}$ , which corresponds to answer choice $(A)$ .