QuestionFind the slope of the line through the points (5,3) and (8,-6). $\mathrm{m}=[?]$

Studdy Solution

STEP 1

Assumptions1. We are given two points on the line (5,3) and (8,-6) . The formula for the slope of a line given two points (x1, y1) and (x, y) is $m = \frac{y - y1}{x - x1}$

STEP 2

First, identify the coordinates of the two points. We'll call (5,) as point1 and (8,-6) as point2.
Point1 (x1, y1) = (5,) Point2 (x2, y2) = (8,-6)

STEP 3

Now, plug in the coordinates of the two points into the formula for the slope.
$m = \frac{y2 - y1}{x2 - x1}$ $m = \frac{-6 -3}{8 -5}$

STEP 4

Perform the subtraction in the numerator and the denominator.
$m = \frac{-9}{3}$

STEP 5

implify the fraction to find the slope.
$m = -3$ The slope of the line is -3.

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QuestionFind the slope of the line through the points (5,3) and (8,-6). $\mathrm{m}=[?]$

Studdy Solution

STEP 1

Assumptions1. We are given two points on the line (5,3) and (8,-6) . The formula for the slope of a line given two points (x1, y1) and (x, y) is $m = \frac{y - y1}{x - x1}$

STEP 2

First, identify the coordinates of the two points. We'll call (5,) as point1 and (8,-6) as point2.
Point1 (x1, y1) = (5,) Point2 (x2, y2) = (8,-6)

STEP 3

Now, plug in the coordinates of the two points into the formula for the slope.
$m = \frac{y2 - y1}{x2 - x1}$ $m = \frac{-6 -3}{8 -5}$

STEP 4

Perform the subtraction in the numerator and the denominator.
$m = \frac{-9}{3}$

STEP 5

implify the fraction to find the slope.
$m = -3$ The slope of the line is -3.

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QuestionFind the slope of the line through the points (5,3) and (8,-6). m=[?] \mathrm{m}=[?] m=[?]

Studdy Solution

STEP 1

Assumptions1. We are given two points on the line (5,3) and (8,-6) . The formula for the slope of a line given two points (x1, y1) and (x, y) ism=y−y1x−x1m = \frac{y - y1}{x - x1}m=x−x1y−y1​

STEP 2

First, identify the coordinates of the two points. We'll call (5,) as point1 and (8,-6) as point2.Point1 (x1, y1) = (5,) Point2 (x2, y2) = (8,-6)

STEP 3

Now, plug in the coordinates of the two points into the formula for the slope.m=y2−y1x2−x1m = \frac{y2 - y1}{x2 - x1}m=x2−x1y2−y1​m=−6−38−5m = \frac{-6 -3}{8 -5}m=8−5−6−3​

STEP 4

Perform the subtraction in the numerator and the denominator.m=−93m = \frac{-9}{3}m=3−9​

STEP 5

implify the fraction to find the slope.m=−3m = -3m=−3The slope of the line is -3.

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QuestionFind the slope of the line through the points (5,3) and (8,-6). $\mathrm{m}=[?]$

Assumptions1. We are given two points on the line (5,3) and (8,-6) . The formula for the slope of a line given two points (x1, y1) and (x, y) is $m = \frac{y - y1}{x - x1}$

First, identify the coordinates of the two points. We'll call (5,) as point1 and (8,-6) as point2.
Point1 (x1, y1) = (5,) Point2 (x2, y2) = (8,-6)

Now, plug in the coordinates of the two points into the formula for the slope.
$m = \frac{y2 - y1}{x2 - x1}$ $m = \frac{-6 -3}{8 -5}$

Perform the subtraction in the numerator and the denominator.
$m = \frac{-9}{3}$

implify the fraction to find the slope.
$m = -3$ The slope of the line is -3.