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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 line passes through the points (0,5)(0, 5) and (5,2)(5, 2).
2. The slope of a line is calculated using the formula for the slope between two points.
3. The slope should be simplified and expressed as a proper fraction, improper fraction, or integer.

STEP 2

1. Identify the coordinates of the two points.
2. Apply the slope formula to find the slope.
3. Simplify the slope if necessary.

STEP 3

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

STEP 4

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

STEP 5

Simplify the expression:
m=−35 m = \frac{-3}{5}

STEP 6

The slope is already in its simplest form as an improper fraction.
Therefore, the slope of the line is:
−35 \boxed{-\frac{3}{5}}

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