QuestionFind the slope of the line through points $(8,2)$ and $(12,-10)$ . What is $\mathrm{m}$ ? $\mathrm{m}=[?]$

Studdy Solution

STEP 1

Assumptions1. The line intersects the points $(8,)$ and $(12,-10)$ . The slope of a line is calculated using the formula $m = \frac{y - y1}{x - x1}$ where $(x1, y1)$ and $(x, y)$ are the coordinates of two points on the line.

STEP 2

First, we need to identify the coordinates of the two points. We'll call the point $(8,2)$ as point1 and the point $(12,-10)$ as point2.
So, we have $x1 =8$ , $y1 =2$ , $x2 =12$ , and $y2 = -10$ .

STEP 3

Now, we can plug these values into the slope formula.
$m = \frac{y2 - y1}{x2 - x1}$

STEP 4

Substitute the values of $y2$ , $y1$ , $x2$ , and $x1$ into the formula.
$m = \frac{-10 -2}{12 -8}$

STEP 5

implify the equation to find the slope.
$m = \frac{-12}{4}$

STEP 6

Finally, calculate the slope.
$m = -3$ The slope of the line is $-3$ .

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QuestionFind the slope of the line through points $(8,2)$ and $(12,-10)$ . What is $\mathrm{m}$ ? $\mathrm{m}=[?]$

Studdy Solution

STEP 1

Assumptions1. The line intersects the points $(8,)$ and $(12,-10)$ . The slope of a line is calculated using the formula $m = \frac{y - y1}{x - x1}$ where $(x1, y1)$ and $(x, y)$ are the coordinates of two points on the line.

STEP 2

First, we need to identify the coordinates of the two points. We'll call the point $(8,2)$ as point1 and the point $(12,-10)$ as point2.
So, we have $x1 =8$ , $y1 =2$ , $x2 =12$ , and $y2 = -10$ .

STEP 3

Now, we can plug these values into the slope formula.
$m = \frac{y2 - y1}{x2 - x1}$

STEP 4

Substitute the values of $y2$ , $y1$ , $x2$ , and $x1$ into the formula.
$m = \frac{-10 -2}{12 -8}$

STEP 5

implify the equation to find the slope.
$m = \frac{-12}{4}$

STEP 6

Finally, calculate the slope.
$m = -3$ The slope of the line is $-3$ .

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QuestionFind the slope of the line through points (8,2)(8,2)(8,2) and (12,−10)(12,-10)(12,−10). What is m\mathrm{m}m? m=[?]\mathrm{m}=[?]m=[?]

Studdy Solution

STEP 1

Assumptions1. The line intersects the points (8,)(8,)(8,) and (12,−10)(12,-10)(12,−10). The slope of a line is calculated using the formula m=y−y1x−x1m = \frac{y - y1}{x - x1}m=x−x1y−y1​ where (x1,y1)(x1, y1)(x1,y1) and (x,y)(x, y)(x,y) are the coordinates of two points on the line.

STEP 2

First, we need to identify the coordinates of the two points. We'll call the point (8,2)(8,2)(8,2) as point1 and the point (12,−10)(12,-10)(12,−10) as point2.So, we have x1=8x1 =8x1=8, y1=2y1 =2y1=2, x2=12x2 =12x2=12, and y2=−10y2 = -10y2=−10.

STEP 3

Now, we can plug these values into the slope formula.m=y2−y1x2−x1m = \frac{y2 - y1}{x2 - x1}m=x2−x1y2−y1​

STEP 4

Substitute the values of y2y2y2, y1y1y1, x2x2x2, and x1x1x1 into the formula.m=−10−212−8m = \frac{-10 -2}{12 -8}m=12−8−10−2​

STEP 5

implify the equation to find the slope.m=−124m = \frac{-12}{4}m=4−12​

STEP 6

Finally, calculate the slope.m=−3m = -3m=−3The slope of the line is −3-3−3.

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QuestionFind the slope of the line through points $(8,2)$ and $(12,-10)$ . What is $\mathrm{m}$ ? $\mathrm{m}=[?]$

Assumptions1. The line intersects the points $(8,)$ and $(12,-10)$ . The slope of a line is calculated using the formula $m = \frac{y - y1}{x - x1}$ where $(x1, y1)$ and $(x, y)$ are the coordinates of two points on the line.

First, we need to identify the coordinates of the two points. We'll call the point $(8,2)$ as point1 and the point $(12,-10)$ as point2.
So, we have $x1 =8$ , $y1 =2$ , $x2 =12$ , and $y2 = -10$ .

Now, we can plug these values into the slope formula.
$m = \frac{y2 - y1}{x2 - x1}$

Substitute the values of $y2$ , $y1$ , $x2$ , and $x1$ into the formula.
$m = \frac{-10 -2}{12 -8}$

implify the equation to find the slope.
$m = \frac{-12}{4}$

Finally, calculate the slope.
$m = -3$ The slope of the line is $-3$ .