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What is the slope of the line that passes through the points $(-1,6)$ and $(14,3)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2 $\square$ Submit Answer undefined

Studdy Solution

STEP 1

1. We are given two points on a line: $(-1, 6)$ and $(14, 3)$ .
2. We need to find the slope of the line that passes through these two points.
3. The slope is defined as the change in $y$ divided by the change in $x$ .

STEP 2

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

STEP 3

Recall the formula for the slope of a line that passes through two points $(x_1, y_1)$ and $(x_2, y_2)$ :
$m = \frac{y_2 - y_1}{x_2 - x_1}$

STEP 4

Substitute the given points $(-1, 6)$ and $(14, 3)$ into the formula:
Let $(x_1, y_1) = (-1, 6)$ and $(x_2, y_2) = (14, 3)$ .
$m = \frac{3 - 6}{14 - (-1)}$

STEP 5

Simplify the expression to find the slope:
$m = \frac{3 - 6}{14 + 1}$ $m = \frac{-3}{15}$
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
$m = \frac{-3 \div 3}{15 \div 3}$ $m = \frac{-1}{5}$
The slope of the line is:
$\boxed{-\frac{1}{5}}$

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