Math / Algebra

QuestionWhat is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integen: $\square$ Submit

Studdy Solution

STEP 1

1. The slope of a line can be found using the formula for the slope between two points.
2. The points given are $(0, 5)$ and $(5, 2)$ .
3. The slope is defined as the change in $y$ divided by the change in $x$ .

STEP 2

1. Identify the coordinates of the two points.
2. Apply the slope formula.
3. Simplify the result to the required form.

STEP 3

Identify the coordinates of the two points on the line. The points are: - Point 1: $(x_1, y_1) = (0, 5)$ - Point 2: $(x_2, y_2) = (5, 2)$

STEP 4

Use the slope formula, which is:
$m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute the coordinates of the points into the formula:
$m = \frac{2 - 5}{5 - 0}$

STEP 5

Calculate the differences in the numerator and the denominator:
$m = \frac{-3}{5}$

STEP 6

The slope is already in the form of a proper fraction. Therefore, the slope of the line is:
$\boxed{-\frac{3}{5}}$

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QuestionWhat is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integen: $\square$ Submit

Studdy Solution

STEP 1

1. The slope of a line can be found using the formula for the slope between two points.
2. The points given are $(0, 5)$ and $(5, 2)$ .
3. The slope is defined as the change in $y$ divided by the change in $x$ .

STEP 2

1. Identify the coordinates of the two points.
2. Apply the slope formula.
3. Simplify the result to the required form.

STEP 3

Identify the coordinates of the two points on the line. The points are: - Point 1: $(x_1, y_1) = (0, 5)$ - Point 2: $(x_2, y_2) = (5, 2)$

STEP 4

Use the slope formula, which is:
$m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute the coordinates of the points into the formula:
$m = \frac{2 - 5}{5 - 0}$

STEP 5

Calculate the differences in the numerator and the denominator:
$m = \frac{-3}{5}$

STEP 6

The slope is already in the form of a proper fraction. Therefore, the slope of the line is:
$\boxed{-\frac{3}{5}}$

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QuestionWhat is the slope of this line?Simplify your answer and write it as a proper fraction, improper fraction, or integen: □\square□ Submit

Studdy Solution

STEP 1

1. The slope of a line can be found using the formula for the slope between two points.2. The points given are (0,5)(0, 5)(0,5) and (5,2)(5, 2)(5,2).3. The slope is defined as the change in y y y divided by the change in x x x.

STEP 2

1. Identify the coordinates of the two points.2. Apply the slope formula.3. Simplify the result to the required form.

STEP 3

Identify the coordinates of the two points on the line. The points are: - Point 1: (x1,y1)=(0,5)(x_1, y_1) = (0, 5)(x1​,y1​)=(0,5) - Point 2: (x2,y2)=(5,2)(x_2, y_2) = (5, 2)(x2​,y2​)=(5,2)

STEP 4

Use the slope formula, which is:m=y2−y1x2−x1 m = \frac{y_2 - y_1}{x_2 - x_1} m=x2​−x1​y2​−y1​​Substitute the coordinates of the points into the formula:m=2−55−0 m = \frac{2 - 5}{5 - 0} m=5−02−5​

STEP 5

Calculate the differences in the numerator and the denominator:m=−35 m = \frac{-3}{5} m=5−3​

STEP 6

The slope is already in the form of a proper fraction. Therefore, the slope of the line is:−35 \boxed{-\frac{3}{5}} −53​​

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QuestionWhat is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integen: $\square$ Submit

1. The slope of a line can be found using the formula for the slope between two points.
2. The points given are $(0, 5)$ and $(5, 2)$ .
3. The slope is defined as the change in $y$ divided by the change in $x$ .

1. Identify the coordinates of the two points.
2. Apply the slope formula.
3. Simplify the result to the required form.

Identify the coordinates of the two points on the line. The points are: - Point 1: $(x_1, y_1) = (0, 5)$ - Point 2: $(x_2, y_2) = (5, 2)$

Use the slope formula, which is:
$m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute the coordinates of the points into the formula:
$m = \frac{2 - 5}{5 - 0}$

Calculate the differences in the numerator and the denominator:
$m = \frac{-3}{5}$

The slope is already in the form of a proper fraction. Therefore, the slope of the line is:
$\boxed{-\frac{3}{5}}$