QuestionCalculate the slope of the line between points $(-5, 3)$ and $(-2, -3)$ using $m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}$ .

Studdy Solution

STEP 1

Assumptions1. We are given two points, $(-5,3)$ and $(-, -3)$ . We are using the formula for the slope of a line given two points, $m = \frac{{y_{} - y_{1}}}{{x_{} - x_{1}}}$

STEP 2

First, we assign the coordinates of the first point to $x_{1}$ and $y_{1}$ , and the coordinates of the second point to $x_{2}$ and $y_{2}$ .
$x_{1} = -5, y_{1} =, x_{2} = -2, y_{2} = -$

STEP 3

Now, we substitute these values into the slope formula.
$m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}= \frac{{-3 -3}}{{-2 - (-5)}}$

STEP 4

implify the expression in the numerator and the denominator.
$m = \frac{{-6}}{{3}}$

STEP 5

Finally, we calculate the slope of the line.
$m = -2$ The slope of the line that passes through the points $(-5,3)$ and $(-2, -3)$ is $-2$ .

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QuestionCalculate the slope of the line between points $(-5, 3)$ and $(-2, -3)$ using $m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}$ .

Studdy Solution

STEP 1

Assumptions1. We are given two points, $(-5,3)$ and $(-, -3)$ . We are using the formula for the slope of a line given two points, $m = \frac{{y_{} - y_{1}}}{{x_{} - x_{1}}}$

STEP 2

First, we assign the coordinates of the first point to $x_{1}$ and $y_{1}$ , and the coordinates of the second point to $x_{2}$ and $y_{2}$ .
$x_{1} = -5, y_{1} =, x_{2} = -2, y_{2} = -$

STEP 3

Now, we substitute these values into the slope formula.
$m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}= \frac{{-3 -3}}{{-2 - (-5)}}$

STEP 4

implify the expression in the numerator and the denominator.
$m = \frac{{-6}}{{3}}$

STEP 5

Finally, we calculate the slope of the line.
$m = -2$ The slope of the line that passes through the points $(-5,3)$ and $(-2, -3)$ is $-2$ .

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QuestionCalculate the slope of the line between points (−5,3)(-5, 3)(−5,3) and (−2,−3)(-2, -3)(−2,−3) using m=y2−y1x2−x1m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}m=x2​−x1​y2​−y1​​.

Studdy Solution

STEP 1

Assumptions1. We are given two points, (−5,3)(-5,3)(−5,3) and (−,−3)(-, -3)(−,−3). We are using the formula for the slope of a line given two points, m=y−y1x−x1m = \frac{{y_{} - y_{1}}}{{x_{} - x_{1}}}m=x​−x1​y​−y1​​

STEP 2

First, we assign the coordinates of the first point to x1x_{1}x1​ and y1y_{1}y1​, and the coordinates of the second point to x2x_{2}x2​ and y2y_{2}y2​.x1=−5,y1=,x2=−2,y2=−x_{1} = -5, y_{1} =, x_{2} = -2, y_{2} = -x1​=−5,y1​=,x2​=−2,y2​=−

STEP 3

Now, we substitute these values into the slope formula.m=y2−y1x2−x1=−3−3−2−(−5)m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}= \frac{{-3 -3}}{{-2 - (-5)}}m=x2​−x1​y2​−y1​​=−2−(−5)−3−3​

STEP 4

implify the expression in the numerator and the denominator.m=−63m = \frac{{-6}}{{3}}m=3−6​

STEP 5

Finally, we calculate the slope of the line.m=−2m = -2m=−2The slope of the line that passes through the points (−5,3)(-5,3)(−5,3) and (−2,−3)(-2, -3)(−2,−3) is −2-2−2.

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QuestionCalculate the slope of the line between points $(-5, 3)$ and $(-2, -3)$ using $m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}$ .

Assumptions1. We are given two points, $(-5,3)$ and $(-, -3)$ . We are using the formula for the slope of a line given two points, $m = \frac{{y_{} - y_{1}}}{{x_{} - x_{1}}}$

First, we assign the coordinates of the first point to $x_{1}$ and $y_{1}$ , and the coordinates of the second point to $x_{2}$ and $y_{2}$ .
$x_{1} = -5, y_{1} =, x_{2} = -2, y_{2} = -$

Now, we substitute these values into the slope formula.
$m = \frac{{y_{2} - y_{1}}}{{x_{2} - x_{1}}}= \frac{{-3 -3}}{{-2 - (-5)}}$

implify the expression in the numerator and the denominator.
$m = \frac{{-6}}{{3}}$

Finally, we calculate the slope of the line.
$m = -2$ The slope of the line that passes through the points $(-5,3)$ and $(-2, -3)$ is $-2$ .