Question

У2-У1 m = X2-X1 Find the slope of the line that passes through these two points. (1,3) (4,6) m = 21 Enter

Answer 1

Question: find the slope of the line that passes through these two points. (1,3) (4,6)

Solution:

By definition, the slope of a line is given by the following equation:

$m\text{ = }\frac{Y2-Y1}{X2-X1}$

where (X1,Y1) and (X2,Y2) are points on the line. In our case, we can take the points:

(X1,Y1) = (1,3)

(X2,Y2) = (4,6)

and replace them into the slope equation:

$m\text{ = }\frac{Y2-Y1}{X2-X1}=\text{ }\frac{6-3}{4-1}\text{ = }\frac{3}{3}=\text{ 1}$

then, we can conclude that the correct answer is:

$m\text{ = 1}$