QuestionFind the slope of the line connecting the points $(-9,-6)$ and $(3,-9)$ . Choices: (A) -4 (B) $-\frac{1}{4}$ (C) 4 (D) $\frac{1}{4}$

Studdy Solution

STEP 1

Assumptions1. The coordinates of the first point are (-9, -6) . The coordinates of the second point are (3, -9)

STEP 2

The slope of a line through two points $(x1, y1)$ and $(x2, y2)$ is given by the formula $slope = \frac{y2 - y1}{x2 - x1}$

STEP 3

Now, plug in the given values for the coordinates of the two points into the formula to calculate the slope.
$slope = \frac{-9 - (-6)}{3 - (-9)}$

STEP 4

implify the numerator and denominator of the fraction.
$slope = \frac{-3}{12}$

STEP 5

implify the fraction to its lowest terms.
$slope = -\frac{1}{4}$ The slope of the line through the points $(-9,-)$ and $(3,-9)$ is $-\frac{1}{4}$ .

Was this helpful?

QuestionFind the slope of the line connecting the points $(-9,-6)$ and $(3,-9)$ . Choices: (A) -4 (B) $-\frac{1}{4}$ (C) 4 (D) $\frac{1}{4}$

Studdy Solution

STEP 1

Assumptions1. The coordinates of the first point are (-9, -6) . The coordinates of the second point are (3, -9)

STEP 2

The slope of a line through two points $(x1, y1)$ and $(x2, y2)$ is given by the formula $slope = \frac{y2 - y1}{x2 - x1}$

STEP 3

Now, plug in the given values for the coordinates of the two points into the formula to calculate the slope.
$slope = \frac{-9 - (-6)}{3 - (-9)}$

STEP 4

implify the numerator and denominator of the fraction.
$slope = \frac{-3}{12}$

STEP 5

implify the fraction to its lowest terms.
$slope = -\frac{1}{4}$ The slope of the line through the points $(-9,-)$ and $(3,-9)$ is $-\frac{1}{4}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the slope of the line connecting the points (−9,−6)(-9,-6)(−9,−6) and (3,−9)(3,-9)(3,−9). Choices: (A) -4 (B) −14-\frac{1}{4}−41​ (C) 4 (D) 14\frac{1}{4}41​

Studdy Solution

STEP 1

Assumptions1. The coordinates of the first point are (-9, -6) . The coordinates of the second point are (3, -9)

STEP 2

The slope of a line through two points (x1,y1)(x1, y1)(x1,y1) and (x2,y2)(x2, y2)(x2,y2) is given by the formulaslope=y2−y1x2−x1slope = \frac{y2 - y1}{x2 - x1}slope=x2−x1y2−y1​

STEP 3

Now, plug in the given values for the coordinates of the two points into the formula to calculate the slope.slope=−9−(−6)3−(−9)slope = \frac{-9 - (-6)}{3 - (-9)}slope=3−(−9)−9−(−6)​

STEP 4

implify the numerator and denominator of the fraction.slope=−312slope = \frac{-3}{12}slope=12−3​

STEP 5

implify the fraction to its lowest terms.slope=−14slope = -\frac{1}{4}slope=−41​The slope of the line through the points (−9,−)(-9,-)(−9,−) and (3,−9)(3,-9)(3,−9) is −14-\frac{1}{4}−41​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the slope of the line connecting the points $(-9,-6)$ and $(3,-9)$ . Choices: (A) -4 (B) $-\frac{1}{4}$ (C) 4 (D) $\frac{1}{4}$

The slope of a line through two points $(x1, y1)$ and $(x2, y2)$ is given by the formula $slope = \frac{y2 - y1}{x2 - x1}$

Now, plug in the given values for the coordinates of the two points into the formula to calculate the slope.
$slope = \frac{-9 - (-6)}{3 - (-9)}$

implify the numerator and denominator of the fraction.
$slope = \frac{-3}{12}$

implify the fraction to its lowest terms.
$slope = -\frac{1}{4}$ The slope of the line through the points $(-9,-)$ and $(3,-9)$ is $-\frac{1}{4}$ .