QuestionFind the slope of a line parallel to one that passes through $(2,3)$ and $(3,2)$ .

Studdy Solution

STEP 1

Assumptions1. The two lines are parallel. . One line goes through the points (,3) and (3,).

STEP 2

The slope of a line can be found using the formula $lope = \frac{y2 - y1}{x2 - x1}$ Where $(x1, y1)$ and $(x2, y2)$ are the coordinates of two points on the line.

STEP 3

Now, plug in the given values for the points on the line to calculate the slope. $lope = \frac{2 -3}{3 -2}$

STEP 4

Calculate the slope of the line.
$lope = \frac{2 -3}{3 -2} = -1$

STEP 5

Since the two lines are parallel, they have the same slope. Therefore, the slope of the other line is also -1.
The slope of the other line is -1.

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QuestionFind the slope of a line parallel to one that passes through $(2,3)$ and $(3,2)$ .

Studdy Solution

STEP 1

Assumptions1. The two lines are parallel. . One line goes through the points (,3) and (3,).

STEP 2

The slope of a line can be found using the formula $lope = \frac{y2 - y1}{x2 - x1}$ Where $(x1, y1)$ and $(x2, y2)$ are the coordinates of two points on the line.

STEP 3

Now, plug in the given values for the points on the line to calculate the slope. $lope = \frac{2 -3}{3 -2}$

STEP 4

Calculate the slope of the line.
$lope = \frac{2 -3}{3 -2} = -1$

STEP 5

Since the two lines are parallel, they have the same slope. Therefore, the slope of the other line is also -1.
The slope of the other line is -1.

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QuestionFind the slope of a line parallel to one that passes through (2,3)(2,3)(2,3) and (3,2)(3,2)(3,2).

Studdy Solution

STEP 1

Assumptions1. The two lines are parallel. . One line goes through the points (,3) and (3,).

STEP 2

The slope of a line can be found using the formulalope=y2−y1x2−x1lope = \frac{y2 - y1}{x2 - x1}lope=x2−x1y2−y1​Where (x1,y1)(x1, y1)(x1,y1) and (x2,y2)(x2, y2)(x2,y2) are the coordinates of two points on the line.

STEP 3

Now, plug in the given values for the points on the line to calculate the slope.lope=2−33−2lope = \frac{2 -3}{3 -2}lope=3−22−3​

STEP 4

Calculate the slope of the line.lope=2−33−2=−1lope = \frac{2 -3}{3 -2} = -1lope=3−22−3​=−1

STEP 5

Since the two lines are parallel, they have the same slope. Therefore, the slope of the other line is also -1.The slope of the other line is -1.

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QuestionFind the slope of a line parallel to one that passes through $(2,3)$ and $(3,2)$ .

The slope of a line can be found using the formula $lope = \frac{y2 - y1}{x2 - x1}$ Where $(x1, y1)$ and $(x2, y2)$ are the coordinates of two points on the line.

Now, plug in the given values for the points on the line to calculate the slope. $lope = \frac{2 -3}{3 -2}$

Calculate the slope of the line.
$lope = \frac{2 -3}{3 -2} = -1$

Since the two lines are parallel, they have the same slope. Therefore, the slope of the other line is also -1.
The slope of the other line is -1.