Question

Find the slope of the line that passes through (6, 4) and (3, 5).

Answer 1

The slope of the line is $m=-\frac{1}{3}$

Explanation:

Given that the two points (6,4) and (3,5)

Slope of the line:

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Now, we shall substitute the coordinates (6,4) and (3,5) in the above formula, we get,

$m=\frac{5-4}{3-6}$

Simplifying the terms, we have,

$m=-\frac{1}{3}$

Thus, the slope of the line is $m=-\frac{1}{3}$