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Math  /  Geometry

QuestionWhat is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Studdy Solution

STEP 1

1. The line passes through the points (−5,−3)(-5, -3) and (5,3) (5, 3) .
2. We need to find the slope of the line using these two points.

STEP 2

1. Recall the formula for the slope of a line given two points.
2. Substitute the coordinates of the given points into the formula.
3. Simplify the expression to find the slope.

STEP 3

Recall the formula for the slope m m of a line given two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2):
m=y2−y1x2−x1 m = \frac{y_2 - y_1}{x_2 - x_1}

STEP 4

Substitute the coordinates of the points (−5,−3)(-5, -3) and (5,3) (5, 3) into the formula:
Let (x1,y1)=(−5,−3)(x_1, y_1) = (-5, -3) and (x2,y2)=(5,3)(x_2, y_2) = (5, 3).
m=3−(−3)5−(−5) m = \frac{3 - (-3)}{5 - (-5)}

STEP 5

Simplify the expression:
m=3+35+5 m = \frac{3 + 3}{5 + 5} m=610 m = \frac{6}{10} m=35 m = \frac{3}{5}
The slope of the line is:
35 \boxed{\frac{3}{5}}

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